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Finding the Fourth Proportional to 363.48, 501.63 and 214.20

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Solution

The fourth proportional to 363.48, 501.63 and 214.20 is: 295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.48 : 501.63 = 214.20 : x
  2. Step 2: Convert to fraction form
    363.48/501.63 = 214.20/x
  3. Step 3: Cross multiply
    363.48x = 501.63 × 214.20
  4. Step 4: Simplify right side
    363.48x = 107,449.15
  5. Step 5: Solve for x
    x = 107,449.15/363.48
  6. Step 6: Final answer
    x = 295.61

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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.