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Finding the Fourth Proportional to 417.39, 625.96 and 281.27

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Solution

The fourth proportional to 417.39, 625.96 and 281.27 is: 421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.39 : 625.96 = 281.27 : x
  2. Step 2: Convert to fraction form
    417.39/625.96 = 281.27/x
  3. Step 3: Cross multiply
    417.39x = 625.96 × 281.27
  4. Step 4: Simplify right side
    417.39x = 176,065.69
  5. Step 5: Solve for x
    x = 176,065.69/417.39
  6. Step 6: Final answer
    x = 421.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.