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Finding the Fourth Proportional to 655.75, 983.62 and 308.97

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Solution

The fourth proportional to 655.75, 983.62 and 308.97 is: 463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.75 : 983.62 = 308.97 : x
  2. Step 2: Convert to fraction form
    655.75/983.62 = 308.97/x
  3. Step 3: Cross multiply
    655.75x = 983.62 × 308.97
  4. Step 4: Simplify right side
    655.75x = 303,909.07
  5. Step 5: Solve for x
    x = 303,909.07/655.75
  6. Step 6: Final answer
    x = 463.45

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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.