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Finding the Fourth Proportional to 541.46, 812.07 and 233.66

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Solution

The fourth proportional to 541.46, 812.07 and 233.66 is: 350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.46 : 812.07 = 233.66 : x
  2. Step 2: Convert to fraction form
    541.46/812.07 = 233.66/x
  3. Step 3: Cross multiply
    541.46x = 812.07 × 233.66
  4. Step 4: Simplify right side
    541.46x = 189,748.28
  5. Step 5: Solve for x
    x = 189,748.28/541.46
  6. Step 6: Final answer
    x = 350.44

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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.