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Finding the Fourth Proportional to 658.99, 989.01 and 293.73

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Solution

The fourth proportional to 658.99, 989.01 and 293.73 is: 440.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.99 : 989.01 = 293.73 : x
  2. Step 2: Convert to fraction form
    658.99/989.01 = 293.73/x
  3. Step 3: Cross multiply
    658.99x = 989.01 × 293.73
  4. Step 4: Simplify right side
    658.99x = 290,498.20
  5. Step 5: Solve for x
    x = 290,498.20/658.99
  6. Step 6: Final answer
    x = 440.83

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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.