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Finding the Fourth Proportional to 541.14, 811.80 and 233.22

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Solution

The fourth proportional to 541.14, 811.80 and 233.22 is: 349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.14 : 811.80 = 233.22 : x
  2. Step 2: Convert to fraction form
    541.14/811.80 = 233.22/x
  3. Step 3: Cross multiply
    541.14x = 811.80 × 233.22
  4. Step 4: Simplify right side
    541.14x = 189,328.00
  5. Step 5: Solve for x
    x = 189,328.00/541.14
  6. Step 6: Final answer
    x = 349.87

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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.