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Finding the Fourth Proportional to 855.96, 1,284.13 and 270.99

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Solution

The fourth proportional to 855.96, 1,284.13 and 270.99 is: 406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.96 : 1,284.13 = 270.99 : x
  2. Step 2: Convert to fraction form
    855.96/1,284.13 = 270.99/x
  3. Step 3: Cross multiply
    855.96x = 1,284.13 × 270.99
  4. Step 4: Simplify right side
    855.96x = 347,985.03
  5. Step 5: Solve for x
    x = 347,985.03/855.96
  6. Step 6: Final answer
    x = 406.55

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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.