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Finding the Fourth Proportional to 311.33, 429.75 and 278.52

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Solution

The fourth proportional to 311.33, 429.75 and 278.52 is: 384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.33 : 429.75 = 278.52 : x
  2. Step 2: Convert to fraction form
    311.33/429.75 = 278.52/x
  3. Step 3: Cross multiply
    311.33x = 429.75 × 278.52
  4. Step 4: Simplify right side
    311.33x = 119,693.97
  5. Step 5: Solve for x
    x = 119,693.97/311.33
  6. Step 6: Final answer
    x = 384.47

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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.