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Finding the Fourth Proportional to 478.43, 715.72 and 414.13

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Solution

The fourth proportional to 478.43, 715.72 and 414.13 is: 619.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.43 : 715.72 = 414.13 : x
  2. Step 2: Convert to fraction form
    478.43/715.72 = 414.13/x
  3. Step 3: Cross multiply
    478.43x = 715.72 × 414.13
  4. Step 4: Simplify right side
    478.43x = 296,401.12
  5. Step 5: Solve for x
    x = 296,401.12/478.43
  6. Step 6: Final answer
    x = 619.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.