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Finding the Fourth Proportional to 809.05, 1,213.59 and 288.94

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Solution

The fourth proportional to 809.05, 1,213.59 and 288.94 is: 433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.05 : 1,213.59 = 288.94 : x
  2. Step 2: Convert to fraction form
    809.05/1,213.59 = 288.94/x
  3. Step 3: Cross multiply
    809.05x = 1,213.59 × 288.94
  4. Step 4: Simplify right side
    809.05x = 350,654.69
  5. Step 5: Solve for x
    x = 350,654.69/809.05
  6. Step 6: Final answer
    x = 433.42

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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.