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Finding the Fourth Proportional to 534.48, 800.10 and 489.66

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Solution

The fourth proportional to 534.48, 800.10 and 489.66 is: 733.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.48 : 800.10 = 489.66 : x
  2. Step 2: Convert to fraction form
    534.48/800.10 = 489.66/x
  3. Step 3: Cross multiply
    534.48x = 800.10 × 489.66
  4. Step 4: Simplify right side
    534.48x = 391,776.97
  5. Step 5: Solve for x
    x = 391,776.97/534.48
  6. Step 6: Final answer
    x = 733.01

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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.