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Finding the Fourth Proportional to 541.12, 811.92 and 233.05

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Solution

The fourth proportional to 541.12, 811.92 and 233.05 is: 349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.12 : 811.92 = 233.05 : x
  2. Step 2: Convert to fraction form
    541.12/811.92 = 233.05/x
  3. Step 3: Cross multiply
    541.12x = 811.92 × 233.05
  4. Step 4: Simplify right side
    541.12x = 189,217.96
  5. Step 5: Solve for x
    x = 189,217.96/541.12
  6. Step 6: Final answer
    x = 349.68

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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.