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Finding the Fourth Proportional to 462.80, 638.92 and 352.54

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Solution

The fourth proportional to 462.80, 638.92 and 352.54 is: 486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.80 : 638.92 = 352.54 : x
  2. Step 2: Convert to fraction form
    462.80/638.92 = 352.54/x
  3. Step 3: Cross multiply
    462.80x = 638.92 × 352.54
  4. Step 4: Simplify right side
    462.80x = 225,246.10
  5. Step 5: Solve for x
    x = 225,246.10/462.80
  6. Step 6: Final answer
    x = 486.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.