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Finding the Fourth Proportional to 655.10, 903.65 and 422.22

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Solution

The fourth proportional to 655.10, 903.65 and 422.22 is: 582.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.10 : 903.65 = 422.22 : x
  2. Step 2: Convert to fraction form
    655.10/903.65 = 422.22/x
  3. Step 3: Cross multiply
    655.10x = 903.65 × 422.22
  4. Step 4: Simplify right side
    655.10x = 381,536.99
  5. Step 5: Solve for x
    x = 381,536.99/655.10
  6. Step 6: Final answer
    x = 582.41

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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.