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Finding the Fourth Proportional to 545.25, 818.41 and 424.83

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Solution

The fourth proportional to 545.25, 818.41 and 424.83 is: 637.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.25 : 818.41 = 424.83 : x
  2. Step 2: Convert to fraction form
    545.25/818.41 = 424.83/x
  3. Step 3: Cross multiply
    545.25x = 818.41 × 424.83
  4. Step 4: Simplify right side
    545.25x = 347,685.12
  5. Step 5: Solve for x
    x = 347,685.12/545.25
  6. Step 6: Final answer
    x = 637.66

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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.