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Finding the Fourth Proportional to 655.62, 983.42 and 265.62

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Solution

The fourth proportional to 655.62, 983.42 and 265.62 is: 398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.62 : 983.42 = 265.62 : x
  2. Step 2: Convert to fraction form
    655.62/983.42 = 265.62/x
  3. Step 3: Cross multiply
    655.62x = 983.42 × 265.62
  4. Step 4: Simplify right side
    655.62x = 261,212.84
  5. Step 5: Solve for x
    x = 261,212.84/655.62
  6. Step 6: Final answer
    x = 398.42

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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.