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Finding the Fourth Proportional to 422.34, 582.15 and 274.65

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Solution

The fourth proportional to 422.34, 582.15 and 274.65 is: 378.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.34 : 582.15 = 274.65 : x
  2. Step 2: Convert to fraction form
    422.34/582.15 = 274.65/x
  3. Step 3: Cross multiply
    422.34x = 582.15 × 274.65
  4. Step 4: Simplify right side
    422.34x = 159,887.50
  5. Step 5: Solve for x
    x = 159,887.50/422.34
  6. Step 6: Final answer
    x = 378.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.