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Finding the Fourth Proportional to 417.98, 576.84 and 252.19

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Solution

The fourth proportional to 417.98, 576.84 and 252.19 is: 348.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.98 : 576.84 = 252.19 : x
  2. Step 2: Convert to fraction form
    417.98/576.84 = 252.19/x
  3. Step 3: Cross multiply
    417.98x = 576.84 × 252.19
  4. Step 4: Simplify right side
    417.98x = 145,473.28
  5. Step 5: Solve for x
    x = 145,473.28/417.98
  6. Step 6: Final answer
    x = 348.04

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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.