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Finding the Fourth Proportional to 462.47, 638.27 and 287.82

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Solution

The fourth proportional to 462.47, 638.27 and 287.82 is: 397.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.47 : 638.27 = 287.82 : x
  2. Step 2: Convert to fraction form
    462.47/638.27 = 287.82/x
  3. Step 3: Cross multiply
    462.47x = 638.27 × 287.82
  4. Step 4: Simplify right side
    462.47x = 183,706.87
  5. Step 5: Solve for x
    x = 183,706.87/462.47
  6. Step 6: Final answer
    x = 397.23

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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.