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Finding the Fourth Proportional to 809.28, 1,211.28 and 443.16

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Solution

The fourth proportional to 809.28, 1,211.28 and 443.16 is: 663.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.28 : 1,211.28 = 443.16 : x
  2. Step 2: Convert to fraction form
    809.28/1,211.28 = 443.16/x
  3. Step 3: Cross multiply
    809.28x = 1,211.28 × 443.16
  4. Step 4: Simplify right side
    809.28x = 536,790.84
  5. Step 5: Solve for x
    x = 536,790.84/809.28
  6. Step 6: Final answer
    x = 663.29

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Double scale
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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.