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Finding the Fourth Proportional to 550.76, 760.14 and 314.75

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Solution

The fourth proportional to 550.76, 760.14 and 314.75 is: 434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.76 : 760.14 = 314.75 : x
  2. Step 2: Convert to fraction form
    550.76/760.14 = 314.75/x
  3. Step 3: Cross multiply
    550.76x = 760.14 × 314.75
  4. Step 4: Simplify right side
    550.76x = 239,254.07
  5. Step 5: Solve for x
    x = 239,254.07/550.76
  6. Step 6: Final answer
    x = 434.41

Related Problems

Find fourth proportional to 275.38, 380.07 and 157.38
Half scale
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Double scale
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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.