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Finding the Fourth Proportional to 416.19, 574.44 and 283.49

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Solution

The fourth proportional to 416.19, 574.44 and 283.49 is: 391.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.19 : 574.44 = 283.49 : x
  2. Step 2: Convert to fraction form
    416.19/574.44 = 283.49/x
  3. Step 3: Cross multiply
    416.19x = 574.44 × 283.49
  4. Step 4: Simplify right side
    416.19x = 162,846.21
  5. Step 5: Solve for x
    x = 162,846.21/416.19
  6. Step 6: Final answer
    x = 391.28

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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.