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Finding the Fourth Proportional to 658.70, 988.04 and 171.74

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Solution

The fourth proportional to 658.70, 988.04 and 171.74 is: 257.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.70 : 988.04 = 171.74 : x
  2. Step 2: Convert to fraction form
    658.70/988.04 = 171.74/x
  3. Step 3: Cross multiply
    658.70x = 988.04 × 171.74
  4. Step 4: Simplify right side
    658.70x = 169,685.99
  5. Step 5: Solve for x
    x = 169,685.99/658.70
  6. Step 6: Final answer
    x = 257.61

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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.