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Finding the Fourth Proportional to 541.86, 812.56 and 233.55

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Solution

The fourth proportional to 541.86, 812.56 and 233.55 is: 350.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.86 : 812.56 = 233.55 : x
  2. Step 2: Convert to fraction form
    541.86/812.56 = 233.55/x
  3. Step 3: Cross multiply
    541.86x = 812.56 × 233.55
  4. Step 4: Simplify right side
    541.86x = 189,773.39
  5. Step 5: Solve for x
    x = 189,773.39/541.86
  6. Step 6: Final answer
    x = 350.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.