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Finding the Fourth Proportional to 417.29, 576.08 and 323.82

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Solution

The fourth proportional to 417.29, 576.08 and 323.82 is: 447.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.29 : 576.08 = 323.82 : x
  2. Step 2: Convert to fraction form
    417.29/576.08 = 323.82/x
  3. Step 3: Cross multiply
    417.29x = 576.08 × 323.82
  4. Step 4: Simplify right side
    417.29x = 186,544.61
  5. Step 5: Solve for x
    x = 186,544.61/417.29
  6. Step 6: Final answer
    x = 447.04

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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.