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Finding the Fourth Proportional to 363.40, 501.52 and 205.98

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Solution

The fourth proportional to 363.40, 501.52 and 205.98 is: 284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.40 : 501.52 = 205.98 : x
  2. Step 2: Convert to fraction form
    363.40/501.52 = 205.98/x
  3. Step 3: Cross multiply
    363.40x = 501.52 × 205.98
  4. Step 4: Simplify right side
    363.40x = 103,301.08
  5. Step 5: Solve for x
    x = 103,301.08/363.40
  6. Step 6: Final answer
    x = 284.26

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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.