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Finding the Fourth Proportional to 515.99, 711.57 and 329.15

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Solution

The fourth proportional to 515.99, 711.57 and 329.15 is: 453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.99 : 711.57 = 329.15 : x
  2. Step 2: Convert to fraction form
    515.99/711.57 = 329.15/x
  3. Step 3: Cross multiply
    515.99x = 711.57 × 329.15
  4. Step 4: Simplify right side
    515.99x = 234,213.27
  5. Step 5: Solve for x
    x = 234,213.27/515.99
  6. Step 6: Final answer
    x = 453.91

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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.