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Finding the Fourth Proportional to 658.29, 987.63 and 414.48

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Solution

The fourth proportional to 658.29, 987.63 and 414.48 is: 621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.29 : 987.63 = 414.48 : x
  2. Step 2: Convert to fraction form
    658.29/987.63 = 414.48/x
  3. Step 3: Cross multiply
    658.29x = 987.63 × 414.48
  4. Step 4: Simplify right side
    658.29x = 409,352.88
  5. Step 5: Solve for x
    x = 409,352.88/658.29
  6. Step 6: Final answer
    x = 621.84

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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.