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Finding the Fourth Proportional to 422.28, 581.58 and 392.04

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Solution

The fourth proportional to 422.28, 581.58 and 392.04 is: 539.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.28 : 581.58 = 392.04 : x
  2. Step 2: Convert to fraction form
    422.28/581.58 = 392.04/x
  3. Step 3: Cross multiply
    422.28x = 581.58 × 392.04
  4. Step 4: Simplify right side
    422.28x = 228,002.62
  5. Step 5: Solve for x
    x = 228,002.62/422.28
  6. Step 6: Final answer
    x = 539.93

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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.