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Finding the Fourth Proportional to 416.12, 574.22 and 268.50

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Solution

The fourth proportional to 416.12, 574.22 and 268.50 is: 370.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.12 : 574.22 = 268.50 : x
  2. Step 2: Convert to fraction form
    416.12/574.22 = 268.50/x
  3. Step 3: Cross multiply
    416.12x = 574.22 × 268.50
  4. Step 4: Simplify right side
    416.12x = 154,178.07
  5. Step 5: Solve for x
    x = 154,178.07/416.12
  6. Step 6: Final answer
    x = 370.51

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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.