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Finding the Fourth Proportional to 658.57, 988.29 and 273.82

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Solution

The fourth proportional to 658.57, 988.29 and 273.82 is: 410.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.57 : 988.29 = 273.82 : x
  2. Step 2: Convert to fraction form
    658.57/988.29 = 273.82/x
  3. Step 3: Cross multiply
    658.57x = 988.29 × 273.82
  4. Step 4: Simplify right side
    658.57x = 270,613.57
  5. Step 5: Solve for x
    x = 270,613.57/658.57
  6. Step 6: Final answer
    x = 410.91

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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.