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Finding the Fourth Proportional to 514.54, 709.72 and 337.15

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Solution

The fourth proportional to 514.54, 709.72 and 337.15 is: 465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.54 : 709.72 = 337.15 : x
  2. Step 2: Convert to fraction form
    514.54/709.72 = 337.15/x
  3. Step 3: Cross multiply
    514.54x = 709.72 × 337.15
  4. Step 4: Simplify right side
    514.54x = 239,282.10
  5. Step 5: Solve for x
    x = 239,282.10/514.54
  6. Step 6: Final answer
    x = 465.04

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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.