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Finding the Fourth Proportional to 422.82, 583.29 and 364.50

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Solution

The fourth proportional to 422.82, 583.29 and 364.50 is: 502.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.82 : 583.29 = 364.50 : x
  2. Step 2: Convert to fraction form
    422.82/583.29 = 364.50/x
  3. Step 3: Cross multiply
    422.82x = 583.29 × 364.50
  4. Step 4: Simplify right side
    422.82x = 212,609.21
  5. Step 5: Solve for x
    x = 212,609.21/422.82
  6. Step 6: Final answer
    x = 502.84

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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.