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Finding the Fourth Proportional to 658.11, 986.30 and 267.65

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Solution

The fourth proportional to 658.11, 986.30 and 267.65 is: 401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.11 : 986.30 = 267.65 : x
  2. Step 2: Convert to fraction form
    658.11/986.30 = 267.65/x
  3. Step 3: Cross multiply
    658.11x = 986.30 × 267.65
  4. Step 4: Simplify right side
    658.11x = 263,986.66
  5. Step 5: Solve for x
    x = 263,986.66/658.11
  6. Step 6: Final answer
    x = 401.13

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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.