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Finding the Fourth Proportional to 541.12, 811.84 and 281.12

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Solution

The fourth proportional to 541.12, 811.84 and 281.12 is: 421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.12 : 811.84 = 281.12 : x
  2. Step 2: Convert to fraction form
    541.12/811.84 = 281.12/x
  3. Step 3: Cross multiply
    541.12x = 811.84 × 281.12
  4. Step 4: Simplify right side
    541.12x = 228,224.46
  5. Step 5: Solve for x
    x = 228,224.46/541.12
  6. Step 6: Final answer
    x = 421.76

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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.