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Finding the Fourth Proportional to 855.18, 1,282.66 and 278

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Solution

The fourth proportional to 855.18, 1,282.66 and 278 is: 416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.18 : 1,282.66 = 278 : x
  2. Step 2: Convert to fraction form
    855.18/1,282.66 = 278/x
  3. Step 3: Cross multiply
    855.18x = 1,282.66 × 278
  4. Step 4: Simplify right side
    855.18x = 356,579.48
  5. Step 5: Solve for x
    x = 356,579.48/855.18
  6. Step 6: Final answer
    x = 416.96

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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.