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Finding the Fourth Proportional to 322.41, 444.52 and 263.34

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Solution

The fourth proportional to 322.41, 444.52 and 263.34 is: 363.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.41 : 444.52 = 263.34 : x
  2. Step 2: Convert to fraction form
    322.41/444.52 = 263.34/x
  3. Step 3: Cross multiply
    322.41x = 444.52 × 263.34
  4. Step 4: Simplify right side
    322.41x = 117,059.90
  5. Step 5: Solve for x
    x = 117,059.90/322.41
  6. Step 6: Final answer
    x = 363.08

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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.