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Finding the Fourth Proportional to 462.54, 638.42 and 297.15

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Solution

The fourth proportional to 462.54, 638.42 and 297.15 is: 410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.54 : 638.42 = 297.15 : x
  2. Step 2: Convert to fraction form
    462.54/638.42 = 297.15/x
  3. Step 3: Cross multiply
    462.54x = 638.42 × 297.15
  4. Step 4: Simplify right side
    462.54x = 189,706.50
  5. Step 5: Solve for x
    x = 189,706.50/462.54
  6. Step 6: Final answer
    x = 410.14

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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.