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Finding the Fourth Proportional to 847.16, 1,270.61 and 327.41

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Solution

The fourth proportional to 847.16, 1,270.61 and 327.41 is: 491.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.16 : 1,270.61 = 327.41 : x
  2. Step 2: Convert to fraction form
    847.16/1,270.61 = 327.41/x
  3. Step 3: Cross multiply
    847.16x = 1,270.61 × 327.41
  4. Step 4: Simplify right side
    847.16x = 416,004.07
  5. Step 5: Solve for x
    x = 416,004.07/847.16
  6. Step 6: Final answer
    x = 491.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.