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Finding the Fourth Proportional to 574.83, 862.38 and 209.62

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Solution

The fourth proportional to 574.83, 862.38 and 209.62 is: 314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.83 : 862.38 = 209.62 : x
  2. Step 2: Convert to fraction form
    574.83/862.38 = 209.62/x
  3. Step 3: Cross multiply
    574.83x = 862.38 × 209.62
  4. Step 4: Simplify right side
    574.83x = 180,774.65
  5. Step 5: Solve for x
    x = 180,774.65/574.83
  6. Step 6: Final answer
    x = 314.48

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