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Finding the Fourth Proportional to 545.68, 818.58 and 410.44

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Solution

The fourth proportional to 545.68, 818.58 and 410.44 is: 615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.68 : 818.58 = 410.44 : x
  2. Step 2: Convert to fraction form
    545.68/818.58 = 410.44/x
  3. Step 3: Cross multiply
    545.68x = 818.58 × 410.44
  4. Step 4: Simplify right side
    545.68x = 335,977.98
  5. Step 5: Solve for x
    x = 335,977.98/545.68
  6. Step 6: Final answer
    x = 615.71

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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.