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Finding the Fourth Proportional to 417.46, 576.12 and 251.68

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Solution

The fourth proportional to 417.46, 576.12 and 251.68 is: 347.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.46 : 576.12 = 251.68 : x
  2. Step 2: Convert to fraction form
    417.46/576.12 = 251.68/x
  3. Step 3: Cross multiply
    417.46x = 576.12 × 251.68
  4. Step 4: Simplify right side
    417.46x = 144,997.88
  5. Step 5: Solve for x
    x = 144,997.88/417.46
  6. Step 6: Final answer
    x = 347.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.