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Finding the Fourth Proportional to 545.17, 813.54 and 486.76

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Solution

The fourth proportional to 545.17, 813.54 and 486.76 is: 726.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.17 : 813.54 = 486.76 : x
  2. Step 2: Convert to fraction form
    545.17/813.54 = 486.76/x
  3. Step 3: Cross multiply
    545.17x = 813.54 × 486.76
  4. Step 4: Simplify right side
    545.17x = 395,998.73
  5. Step 5: Solve for x
    x = 395,998.73/545.17
  6. Step 6: Final answer
    x = 726.38

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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.