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Finding the Fourth Proportional to 545.52, 813.84 and 463.44

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Solution

The fourth proportional to 545.52, 813.84 and 463.44 is: 691.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.52 : 813.84 = 463.44 : x
  2. Step 2: Convert to fraction form
    545.52/813.84 = 463.44/x
  3. Step 3: Cross multiply
    545.52x = 813.84 × 463.44
  4. Step 4: Simplify right side
    545.52x = 377,166.01
  5. Step 5: Solve for x
    x = 377,166.01/545.52
  6. Step 6: Final answer
    x = 691.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.