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Finding the Fourth Proportional to 363.64, 501.20 and 332.64

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Solution

The fourth proportional to 363.64, 501.20 and 332.64 is: 458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.64 : 501.20 = 332.64 : x
  2. Step 2: Convert to fraction form
    363.64/501.20 = 332.64/x
  3. Step 3: Cross multiply
    363.64x = 501.20 × 332.64
  4. Step 4: Simplify right side
    363.64x = 166,719.17
  5. Step 5: Solve for x
    x = 166,719.17/363.64
  6. Step 6: Final answer
    x = 458.47

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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.