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Finding the Fourth Proportional to 545.38, 817.78 and 284.75

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Solution

The fourth proportional to 545.38, 817.78 and 284.75 is: 426.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.38 : 817.78 = 284.75 : x
  2. Step 2: Convert to fraction form
    545.38/817.78 = 284.75/x
  3. Step 3: Cross multiply
    545.38x = 817.78 × 284.75
  4. Step 4: Simplify right side
    545.38x = 232,866.31
  5. Step 5: Solve for x
    x = 232,866.31/545.38
  6. Step 6: Final answer
    x = 426.98

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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.