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Finding the Fourth Proportional to 363.27, 501.35 and 205.93

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Solution

The fourth proportional to 363.27, 501.35 and 205.93 is: 284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.27 : 501.35 = 205.93 : x
  2. Step 2: Convert to fraction form
    363.27/501.35 = 205.93/x
  3. Step 3: Cross multiply
    363.27x = 501.35 × 205.93
  4. Step 4: Simplify right side
    363.27x = 103,243.01
  5. Step 5: Solve for x
    x = 103,243.01/363.27
  6. Step 6: Final answer
    x = 284.20

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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.