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Finding the Fourth Proportional to 560.76, 773.78 and 339.68

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Solution

The fourth proportional to 560.76, 773.78 and 339.68 is: 468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.76 : 773.78 = 339.68 : x
  2. Step 2: Convert to fraction form
    560.76/773.78 = 339.68/x
  3. Step 3: Cross multiply
    560.76x = 773.78 × 339.68
  4. Step 4: Simplify right side
    560.76x = 262,837.59
  5. Step 5: Solve for x
    x = 262,837.59/560.76
  6. Step 6: Final answer
    x = 468.72

Related Problems

Find fourth proportional to 280.38, 386.89 and 169.84
Half scale
Find fourth proportional to 1,121.52, 1,547.56 and 679.36
Double scale
Find fourth proportional to 561.76, 775.16 and 340.68
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.