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Finding the Fourth Proportional to 489.92, 734.65 and 284.55

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Solution

The fourth proportional to 489.92, 734.65 and 284.55 is: 426.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.92 : 734.65 = 284.55 : x
  2. Step 2: Convert to fraction form
    489.92/734.65 = 284.55/x
  3. Step 3: Cross multiply
    489.92x = 734.65 × 284.55
  4. Step 4: Simplify right side
    489.92x = 209,044.66
  5. Step 5: Solve for x
    x = 209,044.66/489.92
  6. Step 6: Final answer
    x = 426.69

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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.