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Finding the Fourth Proportional to 817.39, 1,226.09 and 270.19

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Solution

The fourth proportional to 817.39, 1,226.09 and 270.19 is: 405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.39 : 1,226.09 = 270.19 : x
  2. Step 2: Convert to fraction form
    817.39/1,226.09 = 270.19/x
  3. Step 3: Cross multiply
    817.39x = 1,226.09 × 270.19
  4. Step 4: Simplify right side
    817.39x = 331,271.05
  5. Step 5: Solve for x
    x = 331,271.05/817.39
  6. Step 6: Final answer
    x = 405.28

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Double scale
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Similar ratio
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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.