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Finding the Fourth Proportional to 625.40, 862.81 and 392.12

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Solution

The fourth proportional to 625.40, 862.81 and 392.12 is: 540.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.40 : 862.81 = 392.12 : x
  2. Step 2: Convert to fraction form
    625.40/862.81 = 392.12/x
  3. Step 3: Cross multiply
    625.40x = 862.81 × 392.12
  4. Step 4: Simplify right side
    625.40x = 338,319.76
  5. Step 5: Solve for x
    x = 338,319.76/625.40
  6. Step 6: Final answer
    x = 540.97

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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.