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Finding the Fourth Proportional to 658.86, 988.08 and 293.97

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Solution

The fourth proportional to 658.86, 988.08 and 293.97 is: 440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.86 : 988.08 = 293.97 : x
  2. Step 2: Convert to fraction form
    658.86/988.08 = 293.97/x
  3. Step 3: Cross multiply
    658.86x = 988.08 × 293.97
  4. Step 4: Simplify right side
    658.86x = 290,465.88
  5. Step 5: Solve for x
    x = 290,465.88/658.86
  6. Step 6: Final answer
    x = 440.86

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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.