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Finding the Fourth Proportional to 541.56, 811.46 and 233.22

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Solution

The fourth proportional to 541.56, 811.46 and 233.22 is: 349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.56 : 811.46 = 233.22 : x
  2. Step 2: Convert to fraction form
    541.56/811.46 = 233.22/x
  3. Step 3: Cross multiply
    541.56x = 811.46 × 233.22
  4. Step 4: Simplify right side
    541.56x = 189,248.70
  5. Step 5: Solve for x
    x = 189,248.70/541.56
  6. Step 6: Final answer
    x = 349.45

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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.