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Finding the Fourth Proportional to 658.56, 986.40 and 414.48

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Solution

The fourth proportional to 658.56, 986.40 and 414.48 is: 620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.56 : 986.40 = 414.48 : x
  2. Step 2: Convert to fraction form
    658.56/986.40 = 414.48/x
  3. Step 3: Cross multiply
    658.56x = 986.40 × 414.48
  4. Step 4: Simplify right side
    658.56x = 408,843.07
  5. Step 5: Solve for x
    x = 408,843.07/658.56
  6. Step 6: Final answer
    x = 620.81

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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.