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Finding the Fourth Proportional to 322.22, 444.14 and 269.58

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Solution

The fourth proportional to 322.22, 444.14 and 269.58 is: 371.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.22 : 444.14 = 269.58 : x
  2. Step 2: Convert to fraction form
    322.22/444.14 = 269.58/x
  3. Step 3: Cross multiply
    322.22x = 444.14 × 269.58
  4. Step 4: Simplify right side
    322.22x = 119,731.26
  5. Step 5: Solve for x
    x = 119,731.26/322.22
  6. Step 6: Final answer
    x = 371.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.