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Finding the Fourth Proportional to 422.04, 582.16 and 274.77

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Solution

The fourth proportional to 422.04, 582.16 and 274.77 is: 379.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.04 : 582.16 = 274.77 : x
  2. Step 2: Convert to fraction form
    422.04/582.16 = 274.77/x
  3. Step 3: Cross multiply
    422.04x = 582.16 × 274.77
  4. Step 4: Simplify right side
    422.04x = 159,960.10
  5. Step 5: Solve for x
    x = 159,960.10/422.04
  6. Step 6: Final answer
    x = 379.02

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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.