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Finding the Fourth Proportional to 614.10, 847.09 and 392.97

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Solution

The fourth proportional to 614.10, 847.09 and 392.97 is: 542.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.10 : 847.09 = 392.97 : x
  2. Step 2: Convert to fraction form
    614.10/847.09 = 392.97/x
  3. Step 3: Cross multiply
    614.10x = 847.09 × 392.97
  4. Step 4: Simplify right side
    614.10x = 332,880.96
  5. Step 5: Solve for x
    x = 332,880.96/614.10
  6. Step 6: Final answer
    x = 542.06

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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.