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Finding the Fourth Proportional to 713.85, 985.10 and 415.14

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Solution

The fourth proportional to 713.85, 985.10 and 415.14 is: 572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.85 : 985.10 = 415.14 : x
  2. Step 2: Convert to fraction form
    713.85/985.10 = 415.14/x
  3. Step 3: Cross multiply
    713.85x = 985.10 × 415.14
  4. Step 4: Simplify right side
    713.85x = 408,952.34
  5. Step 5: Solve for x
    x = 408,952.34/713.85
  6. Step 6: Final answer
    x = 572.88

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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.