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Finding the Fourth Proportional to 497.67, 751 and 482.28

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Solution

The fourth proportional to 497.67, 751 and 482.28 is: 727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.67 : 751 = 482.28 : x
  2. Step 2: Convert to fraction form
    497.67/751 = 482.28/x
  3. Step 3: Cross multiply
    497.67x = 751 × 482.28
  4. Step 4: Simplify right side
    497.67x = 362,192.28
  5. Step 5: Solve for x
    x = 362,192.28/497.67
  6. Step 6: Final answer
    x = 727.78

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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.