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Finding the Fourth Proportional to 327.24, 491.54 and 278.47

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Solution

The fourth proportional to 327.24, 491.54 and 278.47 is: 418.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.24 : 491.54 = 278.47 : x
  2. Step 2: Convert to fraction form
    327.24/491.54 = 278.47/x
  3. Step 3: Cross multiply
    327.24x = 491.54 × 278.47
  4. Step 4: Simplify right side
    327.24x = 136,877.75
  5. Step 5: Solve for x
    x = 136,877.75/327.24
  6. Step 6: Final answer
    x = 418.29

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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.