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Finding the Fourth Proportional to 847.28, 1,270.86 and 270.16

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Solution

The fourth proportional to 847.28, 1,270.86 and 270.16 is: 405.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.28 : 1,270.86 = 270.16 : x
  2. Step 2: Convert to fraction form
    847.28/1,270.86 = 270.16/x
  3. Step 3: Cross multiply
    847.28x = 1,270.86 × 270.16
  4. Step 4: Simplify right side
    847.28x = 343,335.54
  5. Step 5: Solve for x
    x = 343,335.54/847.28
  6. Step 6: Final answer
    x = 405.22

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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.