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Finding the Fourth Proportional to 327.30, 491.15 and 278.70

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Solution

The fourth proportional to 327.30, 491.15 and 278.70 is: 418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.30 : 491.15 = 278.70 : x
  2. Step 2: Convert to fraction form
    327.30/491.15 = 278.70/x
  3. Step 3: Cross multiply
    327.30x = 491.15 × 278.70
  4. Step 4: Simplify right side
    327.30x = 136,883.51
  5. Step 5: Solve for x
    x = 136,883.51/327.30
  6. Step 6: Final answer
    x = 418.22

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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.