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Finding the Fourth Proportional to 422.94, 584.11 and 377.13

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Solution

The fourth proportional to 422.94, 584.11 and 377.13 is: 520.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.94 : 584.11 = 377.13 : x
  2. Step 2: Convert to fraction form
    422.94/584.11 = 377.13/x
  3. Step 3: Cross multiply
    422.94x = 584.11 × 377.13
  4. Step 4: Simplify right side
    422.94x = 220,284.46
  5. Step 5: Solve for x
    x = 220,284.46/422.94
  6. Step 6: Final answer
    x = 520.84

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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.