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Finding the Fourth Proportional to 416.16, 574.32 and 239.15

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Solution

The fourth proportional to 416.16, 574.32 and 239.15 is: 330.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.16 : 574.32 = 239.15 : x
  2. Step 2: Convert to fraction form
    416.16/574.32 = 239.15/x
  3. Step 3: Cross multiply
    416.16x = 574.32 × 239.15
  4. Step 4: Simplify right side
    416.16x = 137,348.63
  5. Step 5: Solve for x
    x = 137,348.63/416.16
  6. Step 6: Final answer
    x = 330.04

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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.