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Finding the Fourth Proportional to 344.80, 475.44 and 278.56

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Solution

The fourth proportional to 344.80, 475.44 and 278.56 is: 384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.80 : 475.44 = 278.56 : x
  2. Step 2: Convert to fraction form
    344.80/475.44 = 278.56/x
  3. Step 3: Cross multiply
    344.80x = 475.44 × 278.56
  4. Step 4: Simplify right side
    344.80x = 132,438.57
  5. Step 5: Solve for x
    x = 132,438.57/344.80
  6. Step 6: Final answer
    x = 384.10

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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.