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Finding the Fourth Proportional to 422.37, 582.53 and 348.66

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Solution

The fourth proportional to 422.37, 582.53 and 348.66 is: 480.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.37 : 582.53 = 348.66 : x
  2. Step 2: Convert to fraction form
    422.37/582.53 = 348.66/x
  3. Step 3: Cross multiply
    422.37x = 582.53 × 348.66
  4. Step 4: Simplify right side
    422.37x = 203,103.17
  5. Step 5: Solve for x
    x = 203,103.17/422.37
  6. Step 6: Final answer
    x = 480.87

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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.