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Finding the Fourth Proportional to 541.96, 748.28 and 417.42

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Solution

The fourth proportional to 541.96, 748.28 and 417.42 is: 576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.96 : 748.28 = 417.42 : x
  2. Step 2: Convert to fraction form
    541.96/748.28 = 417.42/x
  3. Step 3: Cross multiply
    541.96x = 748.28 × 417.42
  4. Step 4: Simplify right side
    541.96x = 312,348.08
  5. Step 5: Solve for x
    x = 312,348.08/541.96
  6. Step 6: Final answer
    x = 576.33

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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.