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Finding the Fourth Proportional to 541.34, 812.23 and 233.11

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Solution

The fourth proportional to 541.34, 812.23 and 233.11 is: 349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.34 : 812.23 = 233.11 : x
  2. Step 2: Convert to fraction form
    541.34/812.23 = 233.11/x
  3. Step 3: Cross multiply
    541.34x = 812.23 × 233.11
  4. Step 4: Simplify right side
    541.34x = 189,339.37
  5. Step 5: Solve for x
    x = 189,339.37/541.34
  6. Step 6: Final answer
    x = 349.76

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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.