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Finding the Fourth Proportional to 417.86, 576.63 and 243.19

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Solution

The fourth proportional to 417.86, 576.63 and 243.19 is: 335.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.86 : 576.63 = 243.19 : x
  2. Step 2: Convert to fraction form
    417.86/576.63 = 243.19/x
  3. Step 3: Cross multiply
    417.86x = 576.63 × 243.19
  4. Step 4: Simplify right side
    417.86x = 140,230.65
  5. Step 5: Solve for x
    x = 140,230.65/417.86
  6. Step 6: Final answer
    x = 335.59

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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.