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Finding the Fourth Proportional to 658.11, 986.10 and 310.62

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Solution

The fourth proportional to 658.11, 986.10 and 310.62 is: 465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.11 : 986.10 = 310.62 : x
  2. Step 2: Convert to fraction form
    658.11/986.10 = 310.62/x
  3. Step 3: Cross multiply
    658.11x = 986.10 × 310.62
  4. Step 4: Simplify right side
    658.11x = 306,302.38
  5. Step 5: Solve for x
    x = 306,302.38/658.11
  6. Step 6: Final answer
    x = 465.43

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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.