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Finding the Fourth Proportional to 541.84, 812.71 and 233.63

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Solution

The fourth proportional to 541.84, 812.71 and 233.63 is: 350.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.84 : 812.71 = 233.63 : x
  2. Step 2: Convert to fraction form
    541.84/812.71 = 233.63/x
  3. Step 3: Cross multiply
    541.84x = 812.71 × 233.63
  4. Step 4: Simplify right side
    541.84x = 189,876.63
  5. Step 5: Solve for x
    x = 189,876.63/541.84
  6. Step 6: Final answer
    x = 350.43

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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.