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Finding the Fourth Proportional to 545.70, 818.56 and 410.38

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Solution

The fourth proportional to 545.70, 818.56 and 410.38 is: 615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.70 : 818.56 = 410.38 : x
  2. Step 2: Convert to fraction form
    545.70/818.56 = 410.38/x
  3. Step 3: Cross multiply
    545.70x = 818.56 × 410.38
  4. Step 4: Simplify right side
    545.70x = 335,921.42
  5. Step 5: Solve for x
    x = 335,921.42/545.70
  6. Step 6: Final answer
    x = 615.57

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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.