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Finding the Fourth Proportional to 655.82, 905.22 and 376.20

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Solution

The fourth proportional to 655.82, 905.22 and 376.20 is: 519.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.82 : 905.22 = 376.20 : x
  2. Step 2: Convert to fraction form
    655.82/905.22 = 376.20/x
  3. Step 3: Cross multiply
    655.82x = 905.22 × 376.20
  4. Step 4: Simplify right side
    655.82x = 340,543.76
  5. Step 5: Solve for x
    x = 340,543.76/655.82
  6. Step 6: Final answer
    x = 519.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.