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Finding the Fourth Proportional to 655.29, 982.94 and 398.97

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Solution

The fourth proportional to 655.29, 982.94 and 398.97 is: 598.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.29 : 982.94 = 398.97 : x
  2. Step 2: Convert to fraction form
    655.29/982.94 = 398.97/x
  3. Step 3: Cross multiply
    655.29x = 982.94 × 398.97
  4. Step 4: Simplify right side
    655.29x = 392,161.58
  5. Step 5: Solve for x
    x = 392,161.58/655.29
  6. Step 6: Final answer
    x = 598.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.