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Finding the Fourth Proportional to 658.77, 988.08 and 414.55

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Solution

The fourth proportional to 658.77, 988.08 and 414.55 is: 621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.77 : 988.08 = 414.55 : x
  2. Step 2: Convert to fraction form
    658.77/988.08 = 414.55/x
  3. Step 3: Cross multiply
    658.77x = 988.08 × 414.55
  4. Step 4: Simplify right side
    658.77x = 409,608.56
  5. Step 5: Solve for x
    x = 409,608.56/658.77
  6. Step 6: Final answer
    x = 621.78

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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.