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Finding the Fourth Proportional to 363.39, 501.40 and 216.08

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Solution

The fourth proportional to 363.39, 501.40 and 216.08 is: 298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.39 : 501.40 = 216.08 : x
  2. Step 2: Convert to fraction form
    363.39/501.40 = 216.08/x
  3. Step 3: Cross multiply
    363.39x = 501.40 × 216.08
  4. Step 4: Simplify right side
    363.39x = 108,340.01
  5. Step 5: Solve for x
    x = 108,340.01/363.39
  6. Step 6: Final answer
    x = 298.14

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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.