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Finding the Fourth Proportional to 515.68, 711.76 and 329.14

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Solution

The fourth proportional to 515.68, 711.76 and 329.14 is: 454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.68 : 711.76 = 329.14 : x
  2. Step 2: Convert to fraction form
    515.68/711.76 = 329.14/x
  3. Step 3: Cross multiply
    515.68x = 711.76 × 329.14
  4. Step 4: Simplify right side
    515.68x = 234,268.69
  5. Step 5: Solve for x
    x = 234,268.69/515.68
  6. Step 6: Final answer
    x = 454.29

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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.