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Finding the Fourth Proportional to 709, 1,063.16 and 270.33

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Solution

The fourth proportional to 709, 1,063.16 and 270.33 is: 405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    709 : 1,063.16 = 270.33 : x
  2. Step 2: Convert to fraction form
    709/1,063.16 = 270.33/x
  3. Step 3: Cross multiply
    709x = 1,063.16 × 270.33
  4. Step 4: Simplify right side
    709x = 287,404.04
  5. Step 5: Solve for x
    x = 287,404.04/709
  6. Step 6: Final answer
    x = 405.37

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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.