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Finding the Fourth Proportional to 417.76, 576.66 and 243.11

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Solution

The fourth proportional to 417.76, 576.66 and 243.11 is: 335.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.76 : 576.66 = 243.11 : x
  2. Step 2: Convert to fraction form
    417.76/576.66 = 243.11/x
  3. Step 3: Cross multiply
    417.76x = 576.66 × 243.11
  4. Step 4: Simplify right side
    417.76x = 140,189.94
  5. Step 5: Solve for x
    x = 140,189.94/417.76
  6. Step 6: Final answer
    x = 335.57

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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.