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Finding the Fourth Proportional to 552.88, 762.96 and 304.19

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Solution

The fourth proportional to 552.88, 762.96 and 304.19 is: 419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.88 : 762.96 = 304.19 : x
  2. Step 2: Convert to fraction form
    552.88/762.96 = 304.19/x
  3. Step 3: Cross multiply
    552.88x = 762.96 × 304.19
  4. Step 4: Simplify right side
    552.88x = 232,086.71
  5. Step 5: Solve for x
    x = 232,086.71/552.88
  6. Step 6: Final answer
    x = 419.78

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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.