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Finding the Fourth Proportional to 658.71, 988.09 and 311.72

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Solution

The fourth proportional to 658.71, 988.09 and 311.72 is: 467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.71 : 988.09 = 311.72 : x
  2. Step 2: Convert to fraction form
    658.71/988.09 = 311.72/x
  3. Step 3: Cross multiply
    658.71x = 988.09 × 311.72
  4. Step 4: Simplify right side
    658.71x = 308,001.70
  5. Step 5: Solve for x
    x = 308,001.70/658.71
  6. Step 6: Final answer
    x = 467.58

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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.