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Finding the Fourth Proportional to 847.16, 1,270.61 and 327.40

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Solution

The fourth proportional to 847.16, 1,270.61 and 327.40 is: 491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.16 : 1,270.61 = 327.40 : x
  2. Step 2: Convert to fraction form
    847.16/1,270.61 = 327.40/x
  3. Step 3: Cross multiply
    847.16x = 1,270.61 × 327.40
  4. Step 4: Simplify right side
    847.16x = 415,997.71
  5. Step 5: Solve for x
    x = 415,997.71/847.16
  6. Step 6: Final answer
    x = 491.05

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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.