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Finding the Fourth Proportional to 655.16, 903.96 and 422

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Solution

The fourth proportional to 655.16, 903.96 and 422 is: 582.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.16 : 903.96 = 422 : x
  2. Step 2: Convert to fraction form
    655.16/903.96 = 422/x
  3. Step 3: Cross multiply
    655.16x = 903.96 × 422
  4. Step 4: Simplify right side
    655.16x = 381,471.12
  5. Step 5: Solve for x
    x = 381,471.12/655.16
  6. Step 6: Final answer
    x = 582.26

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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.