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Finding the Fourth Proportional to 422.39, 633.72 and 353.81

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Solution

The fourth proportional to 422.39, 633.72 and 353.81 is: 530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.39 : 633.72 = 353.81 : x
  2. Step 2: Convert to fraction form
    422.39/633.72 = 353.81/x
  3. Step 3: Cross multiply
    422.39x = 633.72 × 353.81
  4. Step 4: Simplify right side
    422.39x = 224,216.47
  5. Step 5: Solve for x
    x = 224,216.47/422.39
  6. Step 6: Final answer
    x = 530.83

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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.