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Finding the Fourth Proportional to 658.13, 986.51 and 311.65

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Solution

The fourth proportional to 658.13, 986.51 and 311.65 is: 467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.13 : 986.51 = 311.65 : x
  2. Step 2: Convert to fraction form
    658.13/986.51 = 311.65/x
  3. Step 3: Cross multiply
    658.13x = 986.51 × 311.65
  4. Step 4: Simplify right side
    658.13x = 307,444.15
  5. Step 5: Solve for x
    x = 307,444.15/658.13
  6. Step 6: Final answer
    x = 467.15

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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.