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Finding the Fourth Proportional to 422.46, 632.16 and 377.37

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Solution

The fourth proportional to 422.46, 632.16 and 377.37 is: 564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.46 : 632.16 = 377.37 : x
  2. Step 2: Convert to fraction form
    422.46/632.16 = 377.37/x
  3. Step 3: Cross multiply
    422.46x = 632.16 × 377.37
  4. Step 4: Simplify right side
    422.46x = 238,558.22
  5. Step 5: Solve for x
    x = 238,558.22/422.46
  6. Step 6: Final answer
    x = 564.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.