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Finding the Fourth Proportional to 658.62, 986.85 and 311.13

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Solution

The fourth proportional to 658.62, 986.85 and 311.13 is: 466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.62 : 986.85 = 311.13 : x
  2. Step 2: Convert to fraction form
    658.62/986.85 = 311.13/x
  3. Step 3: Cross multiply
    658.62x = 986.85 × 311.13
  4. Step 4: Simplify right side
    658.62x = 307,038.64
  5. Step 5: Solve for x
    x = 307,038.64/658.62
  6. Step 6: Final answer
    x = 466.18

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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.