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Finding the Fourth Proportional to 545.75, 817.78 and 381.54

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Solution

The fourth proportional to 545.75, 817.78 and 381.54 is: 571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.75 : 817.78 = 381.54 : x
  2. Step 2: Convert to fraction form
    545.75/817.78 = 381.54/x
  3. Step 3: Cross multiply
    545.75x = 817.78 × 381.54
  4. Step 4: Simplify right side
    545.75x = 312,015.78
  5. Step 5: Solve for x
    x = 312,015.78/545.75
  6. Step 6: Final answer
    x = 571.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.