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Finding the Fourth Proportional to 416.44, 574.75 and 283.85

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Solution

The fourth proportional to 416.44, 574.75 and 283.85 is: 391.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.44 : 574.75 = 283.85 : x
  2. Step 2: Convert to fraction form
    416.44/574.75 = 283.85/x
  3. Step 3: Cross multiply
    416.44x = 574.75 × 283.85
  4. Step 4: Simplify right side
    416.44x = 163,144.06
  5. Step 5: Solve for x
    x = 163,144.06/416.44
  6. Step 6: Final answer
    x = 391.76

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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.