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Finding the Fourth Proportional to 416.26, 574.07 and 283.69

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Solution

The fourth proportional to 416.26, 574.07 and 283.69 is: 391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.26 : 574.07 = 283.69 : x
  2. Step 2: Convert to fraction form
    416.26/574.07 = 283.69/x
  3. Step 3: Cross multiply
    416.26x = 574.07 × 283.69
  4. Step 4: Simplify right side
    416.26x = 162,857.19
  5. Step 5: Solve for x
    x = 162,857.19/416.26
  6. Step 6: Final answer
    x = 391.24

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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.