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Finding the Fourth Proportional to 363.52, 501.65 and 214.24

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Solution

The fourth proportional to 363.52, 501.65 and 214.24 is: 295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.52 : 501.65 = 214.24 : x
  2. Step 2: Convert to fraction form
    363.52/501.65 = 214.24/x
  3. Step 3: Cross multiply
    363.52x = 501.65 × 214.24
  4. Step 4: Simplify right side
    363.52x = 107,474.03
  5. Step 5: Solve for x
    x = 107,474.03/363.52
  6. Step 6: Final answer
    x = 295.65

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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.