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Finding the Fourth Proportional to 363.34, 501.42 and 265.06

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Solution

The fourth proportional to 363.34, 501.42 and 265.06 is: 365.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.34 : 501.42 = 265.06 : x
  2. Step 2: Convert to fraction form
    363.34/501.42 = 265.06/x
  3. Step 3: Cross multiply
    363.34x = 501.42 × 265.06
  4. Step 4: Simplify right side
    363.34x = 132,906.39
  5. Step 5: Solve for x
    x = 132,906.39/363.34
  6. Step 6: Final answer
    x = 365.79

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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.