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Finding the Fourth Proportional to 574.74, 862.25 and 209.54

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Solution

The fourth proportional to 574.74, 862.25 and 209.54 is: 314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.74 : 862.25 = 209.54 : x
  2. Step 2: Convert to fraction form
    574.74/862.25 = 209.54/x
  3. Step 3: Cross multiply
    574.74x = 862.25 × 209.54
  4. Step 4: Simplify right side
    574.74x = 180,670.51
  5. Step 5: Solve for x
    x = 180,670.51/574.74
  6. Step 6: Final answer
    x = 314.35

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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.