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Finding the Fourth Proportional to 638.48, 952.36 and 546.55

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Solution

The fourth proportional to 638.48, 952.36 and 546.55 is: 815.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.48 : 952.36 = 546.55 : x
  2. Step 2: Convert to fraction form
    638.48/952.36 = 546.55/x
  3. Step 3: Cross multiply
    638.48x = 952.36 × 546.55
  4. Step 4: Simplify right side
    638.48x = 520,508.61
  5. Step 5: Solve for x
    x = 520,508.61/638.48
  6. Step 6: Final answer
    x = 815.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.