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Finding the Fourth Proportional to 422.42, 630.02 and 357.84

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Solution

The fourth proportional to 422.42, 630.02 and 357.84 is: 533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.42 : 630.02 = 357.84 : x
  2. Step 2: Convert to fraction form
    422.42/630.02 = 357.84/x
  3. Step 3: Cross multiply
    422.42x = 630.02 × 357.84
  4. Step 4: Simplify right side
    422.42x = 225,447.25
  5. Step 5: Solve for x
    x = 225,447.25/422.42
  6. Step 6: Final answer
    x = 533.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.