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Finding the Fourth Proportional to 422.01, 633.14 and 306.57

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Solution

The fourth proportional to 422.01, 633.14 and 306.57 is: 459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.01 : 633.14 = 306.57 : x
  2. Step 2: Convert to fraction form
    422.01/633.14 = 306.57/x
  3. Step 3: Cross multiply
    422.01x = 633.14 × 306.57
  4. Step 4: Simplify right side
    422.01x = 194,100.20
  5. Step 5: Solve for x
    x = 194,100.20/422.01
  6. Step 6: Final answer
    x = 459.94

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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.