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Finding the Fourth Proportional to 278.77, 383.90 and 277.93

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Solution

The fourth proportional to 278.77, 383.90 and 277.93 is: 382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.77 : 383.90 = 277.93 : x
  2. Step 2: Convert to fraction form
    278.77/383.90 = 277.93/x
  3. Step 3: Cross multiply
    278.77x = 383.90 × 277.93
  4. Step 4: Simplify right side
    278.77x = 106,697.33
  5. Step 5: Solve for x
    x = 106,697.33/278.77
  6. Step 6: Final answer
    x = 382.74

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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.