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Finding the Fourth Proportional to 278.44, 416.85 and 278.08

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Solution

The fourth proportional to 278.44, 416.85 and 278.08 is: 416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.44 : 416.85 = 278.08 : x
  2. Step 2: Convert to fraction form
    278.44/416.85 = 278.08/x
  3. Step 3: Cross multiply
    278.44x = 416.85 × 278.08
  4. Step 4: Simplify right side
    278.44x = 115,917.65
  5. Step 5: Solve for x
    x = 115,917.65/278.44
  6. Step 6: Final answer
    x = 416.31

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Why These Related Problems?

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