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Finding the Fourth Proportional to 552.78, 762.82 and 304.09

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Solution

The fourth proportional to 552.78, 762.82 and 304.09 is: 419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.78 : 762.82 = 304.09 : x
  2. Step 2: Convert to fraction form
    552.78/762.82 = 304.09/x
  3. Step 3: Cross multiply
    552.78x = 762.82 × 304.09
  4. Step 4: Simplify right side
    552.78x = 231,964.41
  5. Step 5: Solve for x
    x = 231,964.41/552.78
  6. Step 6: Final answer
    x = 419.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.