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Finding the Fourth Proportional to 575.44, 862.47 and 209.80

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Solution

The fourth proportional to 575.44, 862.47 and 209.80 is: 314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.44 : 862.47 = 209.80 : x
  2. Step 2: Convert to fraction form
    575.44/862.47 = 209.80/x
  3. Step 3: Cross multiply
    575.44x = 862.47 × 209.80
  4. Step 4: Simplify right side
    575.44x = 180,944.05
  5. Step 5: Solve for x
    x = 180,944.05/575.44
  6. Step 6: Final answer
    x = 314.45

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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.