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Finding the Fourth Proportional to 363.20, 544.92 and 209.30

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Solution

The fourth proportional to 363.20, 544.92 and 209.30 is: 314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.20 : 544.92 = 209.30 : x
  2. Step 2: Convert to fraction form
    363.20/544.92 = 209.30/x
  3. Step 3: Cross multiply
    363.20x = 544.92 × 209.30
  4. Step 4: Simplify right side
    363.20x = 114,051.76
  5. Step 5: Solve for x
    x = 114,051.76/363.20
  6. Step 6: Final answer
    x = 314.02

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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.