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Finding the Fourth Proportional to 363.64, 501.56 and 328.44

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Solution

The fourth proportional to 363.64, 501.56 and 328.44 is: 453.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.64 : 501.56 = 328.44 : x
  2. Step 2: Convert to fraction form
    363.64/501.56 = 328.44/x
  3. Step 3: Cross multiply
    363.64x = 501.56 × 328.44
  4. Step 4: Simplify right side
    363.64x = 164,732.37
  5. Step 5: Solve for x
    x = 164,732.37/363.64
  6. Step 6: Final answer
    x = 453.01

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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.