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Finding the Fourth Proportional to 855.15, 1,282.41 and 277.89

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Solution

The fourth proportional to 855.15, 1,282.41 and 277.89 is: 416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.15 : 1,282.41 = 277.89 : x
  2. Step 2: Convert to fraction form
    855.15/1,282.41 = 277.89/x
  3. Step 3: Cross multiply
    855.15x = 1,282.41 × 277.89
  4. Step 4: Simplify right side
    855.15x = 356,368.91
  5. Step 5: Solve for x
    x = 356,368.91/855.15
  6. Step 6: Final answer
    x = 416.73

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1.5x scale

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.