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Finding the Fourth Proportional to 329.31, 453.78 and 306.24

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Solution

The fourth proportional to 329.31, 453.78 and 306.24 is: 422.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.31 : 453.78 = 306.24 : x
  2. Step 2: Convert to fraction form
    329.31/453.78 = 306.24/x
  3. Step 3: Cross multiply
    329.31x = 453.78 × 306.24
  4. Step 4: Simplify right side
    329.31x = 138,966.72
  5. Step 5: Solve for x
    x = 138,966.72/329.31
  6. Step 6: Final answer
    x = 422.00

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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.