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Finding the Fourth Proportional to 545.72, 818.64 and 180.41

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Solution

The fourth proportional to 545.72, 818.64 and 180.41 is: 270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.72 : 818.64 = 180.41 : x
  2. Step 2: Convert to fraction form
    545.72/818.64 = 180.41/x
  3. Step 3: Cross multiply
    545.72x = 818.64 × 180.41
  4. Step 4: Simplify right side
    545.72x = 147,686.75
  5. Step 5: Solve for x
    x = 147,686.75/545.72
  6. Step 6: Final answer
    x = 270.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.