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Finding the Fourth Proportional to 552.82, 762.87 and 304.16

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Solution

The fourth proportional to 552.82, 762.87 and 304.16 is: 419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.82 : 762.87 = 304.16 : x
  2. Step 2: Convert to fraction form
    552.82/762.87 = 304.16/x
  3. Step 3: Cross multiply
    552.82x = 762.87 × 304.16
  4. Step 4: Simplify right side
    552.82x = 232,034.54
  5. Step 5: Solve for x
    x = 232,034.54/552.82
  6. Step 6: Final answer
    x = 419.73

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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.