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Finding the Fourth Proportional to 560.76, 773.68 and 364.24

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Solution

The fourth proportional to 560.76, 773.68 and 364.24 is: 502.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.76 : 773.68 = 364.24 : x
  2. Step 2: Convert to fraction form
    560.76/773.68 = 364.24/x
  3. Step 3: Cross multiply
    560.76x = 773.68 × 364.24
  4. Step 4: Simplify right side
    560.76x = 281,805.20
  5. Step 5: Solve for x
    x = 281,805.20/560.76
  6. Step 6: Final answer
    x = 502.54

Related Problems

Find fourth proportional to 280.38, 386.84 and 182.12
Half scale
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Double scale
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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.