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Finding the Fourth Proportional to 545.31, 816.68 and 284.69

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Solution

The fourth proportional to 545.31, 816.68 and 284.69 is: 426.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.31 : 816.68 = 284.69 : x
  2. Step 2: Convert to fraction form
    545.31/816.68 = 284.69/x
  3. Step 3: Cross multiply
    545.31x = 816.68 × 284.69
  4. Step 4: Simplify right side
    545.31x = 232,503.38
  5. Step 5: Solve for x
    x = 232,503.38/545.31
  6. Step 6: Final answer
    x = 426.37

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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.