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Finding the Fourth Proportional to 412.48, 617.84 and 268.32

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Solution

The fourth proportional to 412.48, 617.84 and 268.32 is: 401.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.48 : 617.84 = 268.32 : x
  2. Step 2: Convert to fraction form
    412.48/617.84 = 268.32/x
  3. Step 3: Cross multiply
    412.48x = 617.84 × 268.32
  4. Step 4: Simplify right side
    412.48x = 165,778.83
  5. Step 5: Solve for x
    x = 165,778.83/412.48
  6. Step 6: Final answer
    x = 401.91

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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.