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Finding the Fourth Proportional to 582.54, 872.87 and 408.80

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Solution

The fourth proportional to 582.54, 872.87 and 408.80 is: 612.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.54 : 872.87 = 408.80 : x
  2. Step 2: Convert to fraction form
    582.54/872.87 = 408.80/x
  3. Step 3: Cross multiply
    582.54x = 872.87 × 408.80
  4. Step 4: Simplify right side
    582.54x = 356,822.85
  5. Step 5: Solve for x
    x = 356,822.85/582.54
  6. Step 6: Final answer
    x = 612.53

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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.