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Finding the Fourth Proportional to 417.76, 576.36 and 243.04

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Solution

The fourth proportional to 417.76, 576.36 and 243.04 is: 335.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.76 : 576.36 = 243.04 : x
  2. Step 2: Convert to fraction form
    417.76/576.36 = 243.04/x
  3. Step 3: Cross multiply
    417.76x = 576.36 × 243.04
  4. Step 4: Simplify right side
    417.76x = 140,078.53
  5. Step 5: Solve for x
    x = 140,078.53/417.76
  6. Step 6: Final answer
    x = 335.31

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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.