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Finding the Fourth Proportional to 422.82, 583.55 and 304.77

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Solution

The fourth proportional to 422.82, 583.55 and 304.77 is: 420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.82 : 583.55 = 304.77 : x
  2. Step 2: Convert to fraction form
    422.82/583.55 = 304.77/x
  3. Step 3: Cross multiply
    422.82x = 583.55 × 304.77
  4. Step 4: Simplify right side
    422.82x = 177,847.01
  5. Step 5: Solve for x
    x = 177,847.01/422.82
  6. Step 6: Final answer
    x = 420.62

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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.