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Finding the Fourth Proportional to 809.30, 1,214.17 and 289.42

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Solution

The fourth proportional to 809.30, 1,214.17 and 289.42 is: 434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.30 : 1,214.17 = 289.42 : x
  2. Step 2: Convert to fraction form
    809.30/1,214.17 = 289.42/x
  3. Step 3: Cross multiply
    809.30x = 1,214.17 × 289.42
  4. Step 4: Simplify right side
    809.30x = 351,405.08
  5. Step 5: Solve for x
    x = 351,405.08/809.30
  6. Step 6: Final answer
    x = 434.21

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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.