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Finding the Fourth Proportional to 809.41, 1,214.31 and 232.28

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Solution

The fourth proportional to 809.41, 1,214.31 and 232.28 is: 348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.41 : 1,214.31 = 232.28 : x
  2. Step 2: Convert to fraction form
    809.41/1,214.31 = 232.28/x
  3. Step 3: Cross multiply
    809.41x = 1,214.31 × 232.28
  4. Step 4: Simplify right side
    809.41x = 282,063.54
  5. Step 5: Solve for x
    x = 282,063.54/809.41
  6. Step 6: Final answer
    x = 348.48

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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.