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Finding the Fourth Proportional to 422.06, 582.32 and 264.62

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Solution

The fourth proportional to 422.06, 582.32 and 264.62 is: 365.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.06 : 582.32 = 264.62 : x
  2. Step 2: Convert to fraction form
    422.06/582.32 = 264.62/x
  3. Step 3: Cross multiply
    422.06x = 582.32 × 264.62
  4. Step 4: Simplify right side
    422.06x = 154,089.28
  5. Step 5: Solve for x
    x = 154,089.28/422.06
  6. Step 6: Final answer
    x = 365.09

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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.