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Finding the Fourth Proportional to 422, 582.50 and 247.32

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Solution

The fourth proportional to 422, 582.50 and 247.32 is: 341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    422 : 582.50 = 247.32 : x
  2. Step 2: Convert to fraction form
    422/582.50 = 247.32/x
  3. Step 3: Cross multiply
    422x = 582.50 × 247.32
  4. Step 4: Simplify right side
    422x = 144,063.90
  5. Step 5: Solve for x
    x = 144,063.90/422
  6. Step 6: Final answer
    x = 341.38

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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.