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Finding the Fourth Proportional to 658.18, 986.07 and 311.80

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Solution

The fourth proportional to 658.18, 986.07 and 311.80 is: 467.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.18 : 986.07 = 311.80 : x
  2. Step 2: Convert to fraction form
    658.18/986.07 = 311.80/x
  3. Step 3: Cross multiply
    658.18x = 986.07 × 311.80
  4. Step 4: Simplify right side
    658.18x = 307,456.63
  5. Step 5: Solve for x
    x = 307,456.63/658.18
  6. Step 6: Final answer
    x = 467.13

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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.