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Finding the Fourth Proportional to 658.10, 986.20 and 365.16

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Solution

The fourth proportional to 658.10, 986.20 and 365.16 is: 547.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.10 : 986.20 = 365.16 : x
  2. Step 2: Convert to fraction form
    658.10/986.20 = 365.16/x
  3. Step 3: Cross multiply
    658.10x = 986.20 × 365.16
  4. Step 4: Simplify right side
    658.10x = 360,120.79
  5. Step 5: Solve for x
    x = 360,120.79/658.10
  6. Step 6: Final answer
    x = 547.21

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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.