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Finding the Fourth Proportional to 541.55, 811.62 and 233.31

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Solution

The fourth proportional to 541.55, 811.62 and 233.31 is: 349.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.55 : 811.62 = 233.31 : x
  2. Step 2: Convert to fraction form
    541.55/811.62 = 233.31/x
  3. Step 3: Cross multiply
    541.55x = 811.62 × 233.31
  4. Step 4: Simplify right side
    541.55x = 189,359.06
  5. Step 5: Solve for x
    x = 189,359.06/541.55
  6. Step 6: Final answer
    x = 349.66

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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.