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Finding the Fourth Proportional to 325.20, 487.80 and 209.70

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Solution

The fourth proportional to 325.20, 487.80 and 209.70 is: 314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.20 : 487.80 = 209.70 : x
  2. Step 2: Convert to fraction form
    325.20/487.80 = 209.70/x
  3. Step 3: Cross multiply
    325.20x = 487.80 × 209.70
  4. Step 4: Simplify right side
    325.20x = 102,291.66
  5. Step 5: Solve for x
    x = 102,291.66/325.20
  6. Step 6: Final answer
    x = 314.55

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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.