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Finding the Fourth Proportional to 552.67, 762.69 and 304.02

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Solution

The fourth proportional to 552.67, 762.69 and 304.02 is: 419.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.67 : 762.69 = 304.02 : x
  2. Step 2: Convert to fraction form
    552.67/762.69 = 304.02/x
  3. Step 3: Cross multiply
    552.67x = 762.69 × 304.02
  4. Step 4: Simplify right side
    552.67x = 231,868.44
  5. Step 5: Solve for x
    x = 231,868.44/552.67
  6. Step 6: Final answer
    x = 419.54

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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.