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Finding the Fourth Proportional to 363.51, 501.39 and 252.95

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Solution

The fourth proportional to 363.51, 501.39 and 252.95 is: 348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.51 : 501.39 = 252.95 : x
  2. Step 2: Convert to fraction form
    363.51/501.39 = 252.95/x
  3. Step 3: Cross multiply
    363.51x = 501.39 × 252.95
  4. Step 4: Simplify right side
    363.51x = 126,824.09
  5. Step 5: Solve for x
    x = 126,824.09/363.51
  6. Step 6: Final answer
    x = 348.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.