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Finding the Fourth Proportional to 422.16, 581.64 and 323.70

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Solution

The fourth proportional to 422.16, 581.64 and 323.70 is: 445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.16 : 581.64 = 323.70 : x
  2. Step 2: Convert to fraction form
    422.16/581.64 = 323.70/x
  3. Step 3: Cross multiply
    422.16x = 581.64 × 323.70
  4. Step 4: Simplify right side
    422.16x = 188,276.87
  5. Step 5: Solve for x
    x = 188,276.87/422.16
  6. Step 6: Final answer
    x = 445.98

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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.