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Finding the Fourth Proportional to 809.32, 1,213.70 and 232.08

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Solution

The fourth proportional to 809.32, 1,213.70 and 232.08 is: 348.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.32 : 1,213.70 = 232.08 : x
  2. Step 2: Convert to fraction form
    809.32/1,213.70 = 232.08/x
  3. Step 3: Cross multiply
    809.32x = 1,213.70 × 232.08
  4. Step 4: Simplify right side
    809.32x = 281,675.50
  5. Step 5: Solve for x
    x = 281,675.50/809.32
  6. Step 6: Final answer
    x = 348.04

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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.