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Finding the Fourth Proportional to 658.73, 988.19 and 293.51

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Solution

The fourth proportional to 658.73, 988.19 and 293.51 is: 440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.73 : 988.19 = 293.51 : x
  2. Step 2: Convert to fraction form
    658.73/988.19 = 293.51/x
  3. Step 3: Cross multiply
    658.73x = 988.19 × 293.51
  4. Step 4: Simplify right side
    658.73x = 290,045.75
  5. Step 5: Solve for x
    x = 290,045.75/658.73
  6. Step 6: Final answer
    x = 440.31

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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.