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Finding the Fourth Proportional to 582.76, 872.28 and 408.61

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Solution

The fourth proportional to 582.76, 872.28 and 408.61 is: 611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.76 : 872.28 = 408.61 : x
  2. Step 2: Convert to fraction form
    582.76/872.28 = 408.61/x
  3. Step 3: Cross multiply
    582.76x = 872.28 × 408.61
  4. Step 4: Simplify right side
    582.76x = 356,422.33
  5. Step 5: Solve for x
    x = 356,422.33/582.76
  6. Step 6: Final answer
    x = 611.61

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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.