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Finding the Fourth Proportional to 767.34, 1,150.70 and 280.27

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Solution

The fourth proportional to 767.34, 1,150.70 and 280.27 is: 420.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.34 : 1,150.70 = 280.27 : x
  2. Step 2: Convert to fraction form
    767.34/1,150.70 = 280.27/x
  3. Step 3: Cross multiply
    767.34x = 1,150.70 × 280.27
  4. Step 4: Simplify right side
    767.34x = 322,506.73
  5. Step 5: Solve for x
    x = 322,506.73/767.34
  6. Step 6: Final answer
    x = 420.29

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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.