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Finding the Fourth Proportional to 462.47, 638.27 and 292.14

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Solution

The fourth proportional to 462.47, 638.27 and 292.14 is: 403.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.47 : 638.27 = 292.14 : x
  2. Step 2: Convert to fraction form
    462.47/638.27 = 292.14/x
  3. Step 3: Cross multiply
    462.47x = 638.27 × 292.14
  4. Step 4: Simplify right side
    462.47x = 186,464.20
  5. Step 5: Solve for x
    x = 186,464.20/462.47
  6. Step 6: Final answer
    x = 403.19

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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.