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Finding the Fourth Proportional to 311.76, 429.36 and 268.08

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Solution

The fourth proportional to 311.76, 429.36 and 268.08 is: 369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.76 : 429.36 = 268.08 : x
  2. Step 2: Convert to fraction form
    311.76/429.36 = 268.08/x
  3. Step 3: Cross multiply
    311.76x = 429.36 × 268.08
  4. Step 4: Simplify right side
    311.76x = 115,102.83
  5. Step 5: Solve for x
    x = 115,102.83/311.76
  6. Step 6: Final answer
    x = 369.20

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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.