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Finding the Fourth Proportional to 489.74, 675.91 and 293.31

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Solution

The fourth proportional to 489.74, 675.91 and 293.31 is: 404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.74 : 675.91 = 293.31 : x
  2. Step 2: Convert to fraction form
    489.74/675.91 = 293.31/x
  3. Step 3: Cross multiply
    489.74x = 675.91 × 293.31
  4. Step 4: Simplify right side
    489.74x = 198,251.53
  5. Step 5: Solve for x
    x = 198,251.53/489.74
  6. Step 6: Final answer
    x = 404.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.