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Finding the Fourth Proportional to 545.52, 818.64 and 508.80

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Solution

The fourth proportional to 545.52, 818.64 and 508.80 is: 763.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.52 : 818.64 = 508.80 : x
  2. Step 2: Convert to fraction form
    545.52/818.64 = 508.80/x
  3. Step 3: Cross multiply
    545.52x = 818.64 × 508.80
  4. Step 4: Simplify right side
    545.52x = 416,524.03
  5. Step 5: Solve for x
    x = 416,524.03/545.52
  6. Step 6: Final answer
    x = 763.54

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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.