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Finding the Fourth Proportional to 927.88, 1,391.90 and 278.68

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Solution

The fourth proportional to 927.88, 1,391.90 and 278.68 is: 418.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.88 : 1,391.90 = 278.68 : x
  2. Step 2: Convert to fraction form
    927.88/1,391.90 = 278.68/x
  3. Step 3: Cross multiply
    927.88x = 1,391.90 × 278.68
  4. Step 4: Simplify right side
    927.88x = 387,894.69
  5. Step 5: Solve for x
    x = 387,894.69/927.88
  6. Step 6: Final answer
    x = 418.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.