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Finding the Fourth Proportional to 422.22, 583.30 and 360.76

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Solution

The fourth proportional to 422.22, 583.30 and 360.76 is: 498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.22 : 583.30 = 360.76 : x
  2. Step 2: Convert to fraction form
    422.22/583.30 = 360.76/x
  3. Step 3: Cross multiply
    422.22x = 583.30 × 360.76
  4. Step 4: Simplify right side
    422.22x = 210,431.31
  5. Step 5: Solve for x
    x = 210,431.31/422.22
  6. Step 6: Final answer
    x = 498.39

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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.