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Finding the Fourth Proportional to 363.45, 501.63 and 216.03

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Solution

The fourth proportional to 363.45, 501.63 and 216.03 is: 298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.45 : 501.63 = 216.03 : x
  2. Step 2: Convert to fraction form
    363.45/501.63 = 216.03/x
  3. Step 3: Cross multiply
    363.45x = 501.63 × 216.03
  4. Step 4: Simplify right side
    363.45x = 108,367.13
  5. Step 5: Solve for x
    x = 108,367.13/363.45
  6. Step 6: Final answer
    x = 298.16

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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.