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Finding the Fourth Proportional to 541.89, 748.14 and 417.33

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Solution

The fourth proportional to 541.89, 748.14 and 417.33 is: 576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.89 : 748.14 = 417.33 : x
  2. Step 2: Convert to fraction form
    541.89/748.14 = 417.33/x
  3. Step 3: Cross multiply
    541.89x = 748.14 × 417.33
  4. Step 4: Simplify right side
    541.89x = 312,221.27
  5. Step 5: Solve for x
    x = 312,221.27/541.89
  6. Step 6: Final answer
    x = 576.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.