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Finding the Fourth Proportional to 363.36, 544.74 and 209.46

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Solution

The fourth proportional to 363.36, 544.74 and 209.46 is: 314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.36 : 544.74 = 209.46 : x
  2. Step 2: Convert to fraction form
    363.36/544.74 = 209.46/x
  3. Step 3: Cross multiply
    363.36x = 544.74 × 209.46
  4. Step 4: Simplify right side
    363.36x = 114,101.24
  5. Step 5: Solve for x
    x = 114,101.24/363.36
  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.