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Finding the Fourth Proportional to 422.34, 581.67 and 389.94

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Solution

The fourth proportional to 422.34, 581.67 and 389.94 is: 537.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.34 : 581.67 = 389.94 : x
  2. Step 2: Convert to fraction form
    422.34/581.67 = 389.94/x
  3. Step 3: Cross multiply
    422.34x = 581.67 × 389.94
  4. Step 4: Simplify right side
    422.34x = 226,816.40
  5. Step 5: Solve for x
    x = 226,816.40/422.34
  6. Step 6: Final answer
    x = 537.05

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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.