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Finding the Fourth Proportional to 363.35, 501.46 and 216.02

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Solution

The fourth proportional to 363.35, 501.46 and 216.02 is: 298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.35 : 501.46 = 216.02 : x
  2. Step 2: Convert to fraction form
    363.35/501.46 = 216.02/x
  3. Step 3: Cross multiply
    363.35x = 501.46 × 216.02
  4. Step 4: Simplify right side
    363.35x = 108,325.39
  5. Step 5: Solve for x
    x = 108,325.39/363.35
  6. Step 6: Final answer
    x = 298.13

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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.