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Finding the Fourth Proportional to 363.42, 501.57 and 216.09

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Solution

The fourth proportional to 363.42, 501.57 and 216.09 is: 298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.42 : 501.57 = 216.09 : x
  2. Step 2: Convert to fraction form
    363.42/501.57 = 216.09/x
  3. Step 3: Cross multiply
    363.42x = 501.57 × 216.09
  4. Step 4: Simplify right side
    363.42x = 108,384.26
  5. Step 5: Solve for x
    x = 108,384.26/363.42
  6. Step 6: Final answer
    x = 298.23

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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.