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Finding the Fourth Proportional to 545.88, 819.87 and 467.97

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Solution

The fourth proportional to 545.88, 819.87 and 467.97 is: 702.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.88 : 819.87 = 467.97 : x
  2. Step 2: Convert to fraction form
    545.88/819.87 = 467.97/x
  3. Step 3: Cross multiply
    545.88x = 819.87 × 467.97
  4. Step 4: Simplify right side
    545.88x = 383,668.12
  5. Step 5: Solve for x
    x = 383,668.12/545.88
  6. Step 6: Final answer
    x = 702.84

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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.