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Finding the Fourth Proportional to 422.64, 583.07 and 247.68

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Solution

The fourth proportional to 422.64, 583.07 and 247.68 is: 341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.64 : 583.07 = 247.68 : x
  2. Step 2: Convert to fraction form
    422.64/583.07 = 247.68/x
  3. Step 3: Cross multiply
    422.64x = 583.07 × 247.68
  4. Step 4: Simplify right side
    422.64x = 144,413.54
  5. Step 5: Solve for x
    x = 144,413.54/422.64
  6. Step 6: Final answer
    x = 341.69

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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.