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Finding the Fourth Proportional to 541.81, 748.04 and 417.24

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Solution

The fourth proportional to 541.81, 748.04 and 417.24 is: 576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.81 : 748.04 = 417.24 : x
  2. Step 2: Convert to fraction form
    541.81/748.04 = 417.24/x
  3. Step 3: Cross multiply
    541.81x = 748.04 × 417.24
  4. Step 4: Simplify right side
    541.81x = 312,112.21
  5. Step 5: Solve for x
    x = 312,112.21/541.81
  6. Step 6: Final answer
    x = 576.05

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