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Finding the Fourth Proportional to 658.55, 987.91 and 242.03

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Solution

The fourth proportional to 658.55, 987.91 and 242.03 is: 363.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.55 : 987.91 = 242.03 : x
  2. Step 2: Convert to fraction form
    658.55/987.91 = 242.03/x
  3. Step 3: Cross multiply
    658.55x = 987.91 × 242.03
  4. Step 4: Simplify right side
    658.55x = 239,098.31
  5. Step 5: Solve for x
    x = 239,098.31/658.55
  6. Step 6: Final answer
    x = 363.07

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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.