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Finding the Fourth Proportional to 541.48, 811.82 and 281.36

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Solution

The fourth proportional to 541.48, 811.82 and 281.36 is: 421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.48 : 811.82 = 281.36 : x
  2. Step 2: Convert to fraction form
    541.48/811.82 = 281.36/x
  3. Step 3: Cross multiply
    541.48x = 811.82 × 281.36
  4. Step 4: Simplify right side
    541.48x = 228,413.68
  5. Step 5: Solve for x
    x = 228,413.68/541.48
  6. Step 6: Final answer
    x = 421.83

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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.