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Finding the Fourth Proportional to 462.42, 638.19 and 287.73

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Solution

The fourth proportional to 462.42, 638.19 and 287.73 is: 397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.42 : 638.19 = 287.73 : x
  2. Step 2: Convert to fraction form
    462.42/638.19 = 287.73/x
  3. Step 3: Cross multiply
    462.42x = 638.19 × 287.73
  4. Step 4: Simplify right side
    462.42x = 183,626.41
  5. Step 5: Solve for x
    x = 183,626.41/462.42
  6. Step 6: Final answer
    x = 397.10

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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.