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Finding the Fourth Proportional to 416.02, 574.36 and 285.44

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Solution

The fourth proportional to 416.02, 574.36 and 285.44 is: 394.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.02 : 574.36 = 285.44 : x
  2. Step 2: Convert to fraction form
    416.02/574.36 = 285.44/x
  3. Step 3: Cross multiply
    416.02x = 574.36 × 285.44
  4. Step 4: Simplify right side
    416.02x = 163,945.32
  5. Step 5: Solve for x
    x = 163,945.32/416.02
  6. Step 6: Final answer
    x = 394.08

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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.