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Finding the Fourth Proportional to 416.28, 574.50 and 285.36

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Solution

The fourth proportional to 416.28, 574.50 and 285.36 is: 393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.28 : 574.50 = 285.36 : x
  2. Step 2: Convert to fraction form
    416.28/574.50 = 285.36/x
  3. Step 3: Cross multiply
    416.28x = 574.50 × 285.36
  4. Step 4: Simplify right side
    416.28x = 163,939.32
  5. Step 5: Solve for x
    x = 163,939.32/416.28
  6. Step 6: Final answer
    x = 393.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.