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Finding the Fourth Proportional to 855.08, 1,282.74 and 278.04

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Solution

The fourth proportional to 855.08, 1,282.74 and 278.04 is: 417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.08 : 1,282.74 = 278.04 : x
  2. Step 2: Convert to fraction form
    855.08/1,282.74 = 278.04/x
  3. Step 3: Cross multiply
    855.08x = 1,282.74 × 278.04
  4. Step 4: Simplify right side
    855.08x = 356,653.03
  5. Step 5: Solve for x
    x = 356,653.03/855.08
  6. Step 6: Final answer
    x = 417.10

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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.