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Finding the Fourth Proportional to 658.22, 987.39 and 384.34

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Solution

The fourth proportional to 658.22, 987.39 and 384.34 is: 576.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.22 : 987.39 = 384.34 : x
  2. Step 2: Convert to fraction form
    658.22/987.39 = 384.34/x
  3. Step 3: Cross multiply
    658.22x = 987.39 × 384.34
  4. Step 4: Simplify right side
    658.22x = 379,493.27
  5. Step 5: Solve for x
    x = 379,493.27/658.22
  6. Step 6: Final answer
    x = 576.54

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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.