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Finding the Fourth Proportional to 658.80, 988.02 and 171.72

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Solution

The fourth proportional to 658.80, 988.02 and 171.72 is: 257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.80 : 988.02 = 171.72 : x
  2. Step 2: Convert to fraction form
    658.80/988.02 = 171.72/x
  3. Step 3: Cross multiply
    658.80x = 988.02 × 171.72
  4. Step 4: Simplify right side
    658.80x = 169,662.79
  5. Step 5: Solve for x
    x = 169,662.79/658.80
  6. Step 6: Final answer
    x = 257.53

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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.