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Finding the Fourth Proportional to 422.32, 633.63 and 301.53

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Solution

The fourth proportional to 422.32, 633.63 and 301.53 is: 452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.32 : 633.63 = 301.53 : x
  2. Step 2: Convert to fraction form
    422.32/633.63 = 301.53/x
  3. Step 3: Cross multiply
    422.32x = 633.63 × 301.53
  4. Step 4: Simplify right side
    422.32x = 191,058.45
  5. Step 5: Solve for x
    x = 191,058.45/422.32
  6. Step 6: Final answer
    x = 452.40

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