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Finding the Fourth Proportional to 489.28, 675.13 and 292.75

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Solution

The fourth proportional to 489.28, 675.13 and 292.75 is: 403.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.28 : 675.13 = 292.75 : x
  2. Step 2: Convert to fraction form
    489.28/675.13 = 292.75/x
  3. Step 3: Cross multiply
    489.28x = 675.13 × 292.75
  4. Step 4: Simplify right side
    489.28x = 197,644.31
  5. Step 5: Solve for x
    x = 197,644.31/489.28
  6. Step 6: Final answer
    x = 403.95

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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.