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Finding the Fourth Proportional to 489.10, 674.84 and 292.68

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Solution

The fourth proportional to 489.10, 674.84 and 292.68 is: 403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.10 : 674.84 = 292.68 : x
  2. Step 2: Convert to fraction form
    489.10/674.84 = 292.68/x
  3. Step 3: Cross multiply
    489.10x = 674.84 × 292.68
  4. Step 4: Simplify right side
    489.10x = 197,512.17
  5. Step 5: Solve for x
    x = 197,512.17/489.10
  6. Step 6: Final answer
    x = 403.83

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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.