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Finding the Fourth Proportional to 422.64, 633.91 and 114.48

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Solution

The fourth proportional to 422.64, 633.91 and 114.48 is: 171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.64 : 633.91 = 114.48 : x
  2. Step 2: Convert to fraction form
    422.64/633.91 = 114.48/x
  3. Step 3: Cross multiply
    422.64x = 633.91 × 114.48
  4. Step 4: Simplify right side
    422.64x = 72,567.13
  5. Step 5: Solve for x
    x = 72,567.13/422.64
  6. Step 6: Final answer
    x = 171.70

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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.