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Finding the Fourth Proportional to 500.73, 754.84 and 467.28

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Solution

The fourth proportional to 500.73, 754.84 and 467.28 is: 704.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.73 : 754.84 = 467.28 : x
  2. Step 2: Convert to fraction form
    500.73/754.84 = 467.28/x
  3. Step 3: Cross multiply
    500.73x = 754.84 × 467.28
  4. Step 4: Simplify right side
    500.73x = 352,722.22
  5. Step 5: Solve for x
    x = 352,722.22/500.73
  6. Step 6: Final answer
    x = 704.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.