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Finding the Fourth Proportional to 422.42, 583.02 and 247.77

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Solution

The fourth proportional to 422.42, 583.02 and 247.77 is: 341.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.42 : 583.02 = 247.77 : x
  2. Step 2: Convert to fraction form
    422.42/583.02 = 247.77/x
  3. Step 3: Cross multiply
    422.42x = 583.02 × 247.77
  4. Step 4: Simplify right side
    422.42x = 144,454.87
  5. Step 5: Solve for x
    x = 144,454.87/422.42
  6. Step 6: Final answer
    x = 341.97

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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.