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Finding the Fourth Proportional to 806.28, 1,209.55 and 258.42

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Solution

The fourth proportional to 806.28, 1,209.55 and 258.42 is: 387.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.28 : 1,209.55 = 258.42 : x
  2. Step 2: Convert to fraction form
    806.28/1,209.55 = 258.42/x
  3. Step 3: Cross multiply
    806.28x = 1,209.55 × 258.42
  4. Step 4: Simplify right side
    806.28x = 312,571.91
  5. Step 5: Solve for x
    x = 312,571.91/806.28
  6. Step 6: Final answer
    x = 387.67

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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.