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Finding the Fourth Proportional to 713.91, 985.33 and 415.14

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Solution

The fourth proportional to 713.91, 985.33 and 415.14 is: 572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.91 : 985.33 = 415.14 : x
  2. Step 2: Convert to fraction form
    713.91/985.33 = 415.14/x
  3. Step 3: Cross multiply
    713.91x = 985.33 × 415.14
  4. Step 4: Simplify right side
    713.91x = 409,049.90
  5. Step 5: Solve for x
    x = 409,049.90/713.91
  6. Step 6: Final answer
    x = 572.97

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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.