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Finding the Fourth Proportional to 322.21, 444.27 and 228.79

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Solution

The fourth proportional to 322.21, 444.27 and 228.79 is: 315.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.21 : 444.27 = 228.79 : x
  2. Step 2: Convert to fraction form
    322.21/444.27 = 228.79/x
  3. Step 3: Cross multiply
    322.21x = 444.27 × 228.79
  4. Step 4: Simplify right side
    322.21x = 101,644.53
  5. Step 5: Solve for x
    x = 101,644.53/322.21
  6. Step 6: Final answer
    x = 315.46

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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.