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Finding the Fourth Proportional to 574.76, 862.14 and 209.40

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Solution

The fourth proportional to 574.76, 862.14 and 209.40 is: 314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.76 : 862.14 = 209.40 : x
  2. Step 2: Convert to fraction form
    574.76/862.14 = 209.40/x
  3. Step 3: Cross multiply
    574.76x = 862.14 × 209.40
  4. Step 4: Simplify right side
    574.76x = 180,530.78
  5. Step 5: Solve for x
    x = 180,530.78/574.76
  6. Step 6: Final answer
    x = 314.10

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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.