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Finding the Fourth Proportional to 417.89, 576.61 and 243.14

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Solution

The fourth proportional to 417.89, 576.61 and 243.14 is: 335.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.89 : 576.61 = 243.14 : x
  2. Step 2: Convert to fraction form
    417.89/576.61 = 243.14/x
  3. Step 3: Cross multiply
    417.89x = 576.61 × 243.14
  4. Step 4: Simplify right side
    417.89x = 140,193.46
  5. Step 5: Solve for x
    x = 140,193.46/417.89
  6. Step 6: Final answer
    x = 335.48

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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.