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Finding the Fourth Proportional to 545.42, 818.40 and 409.64

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Solution

The fourth proportional to 545.42, 818.40 and 409.64 is: 614.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.42 : 818.40 = 409.64 : x
  2. Step 2: Convert to fraction form
    545.42/818.40 = 409.64/x
  3. Step 3: Cross multiply
    545.42x = 818.40 × 409.64
  4. Step 4: Simplify right side
    545.42x = 335,249.38
  5. Step 5: Solve for x
    x = 335,249.38/545.42
  6. Step 6: Final answer
    x = 614.66

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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.