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Finding the Fourth Proportional to 311.61, 465.43 and 268.41

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Solution

The fourth proportional to 311.61, 465.43 and 268.41 is: 400.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.61 : 465.43 = 268.41 : x
  2. Step 2: Convert to fraction form
    311.61/465.43 = 268.41/x
  3. Step 3: Cross multiply
    311.61x = 465.43 × 268.41
  4. Step 4: Simplify right side
    311.61x = 124,926.07
  5. Step 5: Solve for x
    x = 124,926.07/311.61
  6. Step 6: Final answer
    x = 400.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.