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Finding the Fourth Proportional to 635.22, 876 and 422.15

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Solution

The fourth proportional to 635.22, 876 and 422.15 is: 582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.22 : 876 = 422.15 : x
  2. Step 2: Convert to fraction form
    635.22/876 = 422.15/x
  3. Step 3: Cross multiply
    635.22x = 876 × 422.15
  4. Step 4: Simplify right side
    635.22x = 369,803.40
  5. Step 5: Solve for x
    x = 369,803.40/635.22
  6. Step 6: Final answer
    x = 582.17

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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.