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Finding the Fourth Proportional to 847.30, 1,270.95 and 327.46

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Solution

The fourth proportional to 847.30, 1,270.95 and 327.46 is: 491.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.30 : 1,270.95 = 327.46 : x
  2. Step 2: Convert to fraction form
    847.30/1,270.95 = 327.46/x
  3. Step 3: Cross multiply
    847.30x = 1,270.95 × 327.46
  4. Step 4: Simplify right side
    847.30x = 416,185.29
  5. Step 5: Solve for x
    x = 416,185.29/847.30
  6. Step 6: Final answer
    x = 491.19

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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.