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Finding the Fourth Proportional to 489.30, 675.27 and 292.92

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Solution

The fourth proportional to 489.30, 675.27 and 292.92 is: 404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.30 : 675.27 = 292.92 : x
  2. Step 2: Convert to fraction form
    489.30/675.27 = 292.92/x
  3. Step 3: Cross multiply
    489.30x = 675.27 × 292.92
  4. Step 4: Simplify right side
    489.30x = 197,800.09
  5. Step 5: Solve for x
    x = 197,800.09/489.30
  6. Step 6: Final answer
    x = 404.25

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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.