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Finding the Fourth Proportional to 658.20, 987.58 and 311.78

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Solution

The fourth proportional to 658.20, 987.58 and 311.78 is: 467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.20 : 987.58 = 311.78 : x
  2. Step 2: Convert to fraction form
    658.20/987.58 = 311.78/x
  3. Step 3: Cross multiply
    658.20x = 987.58 × 311.78
  4. Step 4: Simplify right side
    658.20x = 307,905.00
  5. Step 5: Solve for x
    x = 307,905.00/658.20
  6. Step 6: Final answer
    x = 467.80

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