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Finding the Fourth Proportional to 363.58, 501.76 and 216.24

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Solution

The fourth proportional to 363.58, 501.76 and 216.24 is: 298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.58 : 501.76 = 216.24 : x
  2. Step 2: Convert to fraction form
    363.58/501.76 = 216.24/x
  3. Step 3: Cross multiply
    363.58x = 501.76 × 216.24
  4. Step 4: Simplify right side
    363.58x = 108,500.58
  5. Step 5: Solve for x
    x = 108,500.58/363.58
  6. Step 6: Final answer
    x = 298.42

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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.