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Finding the Fourth Proportional to 545.75, 819.16 and 425.33

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Solution

The fourth proportional to 545.75, 819.16 and 425.33 is: 638.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.75 : 819.16 = 425.33 : x
  2. Step 2: Convert to fraction form
    545.75/819.16 = 425.33/x
  3. Step 3: Cross multiply
    545.75x = 819.16 × 425.33
  4. Step 4: Simplify right side
    545.75x = 348,413.32
  5. Step 5: Solve for x
    x = 348,413.32/545.75
  6. Step 6: Final answer
    x = 638.41

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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.