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Finding the Fourth Proportional to 422, 633.10 and 239.12

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Solution

The fourth proportional to 422, 633.10 and 239.12 is: 358.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422 : 633.10 = 239.12 : x
  2. Step 2: Convert to fraction form
    422/633.10 = 239.12/x
  3. Step 3: Cross multiply
    422x = 633.10 × 239.12
  4. Step 4: Simplify right side
    422x = 151,386.87
  5. Step 5: Solve for x
    x = 151,386.87/422
  6. Step 6: Final answer
    x = 358.74

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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.