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Finding the Fourth Proportional to 658.26, 987.08 and 384.41

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Solution

The fourth proportional to 658.26, 987.08 and 384.41 is: 576.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.26 : 987.08 = 384.41 : x
  2. Step 2: Convert to fraction form
    658.26/987.08 = 384.41/x
  3. Step 3: Cross multiply
    658.26x = 987.08 × 384.41
  4. Step 4: Simplify right side
    658.26x = 379,443.97
  5. Step 5: Solve for x
    x = 379,443.97/658.26
  6. Step 6: Final answer
    x = 576.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.