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Finding the Fourth Proportional to 545.93, 819.20 and 460.27

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Solution

The fourth proportional to 545.93, 819.20 and 460.27 is: 690.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.93 : 819.20 = 460.27 : x
  2. Step 2: Convert to fraction form
    545.93/819.20 = 460.27/x
  3. Step 3: Cross multiply
    545.93x = 819.20 × 460.27
  4. Step 4: Simplify right side
    545.93x = 377,053.18
  5. Step 5: Solve for x
    x = 377,053.18/545.93
  6. Step 6: Final answer
    x = 690.66

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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.