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Finding the Fourth Proportional to 574.80, 862.84 and 286.16

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Solution

The fourth proportional to 574.80, 862.84 and 286.16 is: 429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.80 : 862.84 = 286.16 : x
  2. Step 2: Convert to fraction form
    574.80/862.84 = 286.16/x
  3. Step 3: Cross multiply
    574.80x = 862.84 × 286.16
  4. Step 4: Simplify right side
    574.80x = 246,910.29
  5. Step 5: Solve for x
    x = 246,910.29/574.80
  6. Step 6: Final answer
    x = 429.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.