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Finding the Fourth Proportional to 422.63, 633.53 and 285.71

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Solution

The fourth proportional to 422.63, 633.53 and 285.71 is: 428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.63 : 633.53 = 285.71 : x
  2. Step 2: Convert to fraction form
    422.63/633.53 = 285.71/x
  3. Step 3: Cross multiply
    422.63x = 633.53 × 285.71
  4. Step 4: Simplify right side
    422.63x = 181,001.26
  5. Step 5: Solve for x
    x = 181,001.26/422.63
  6. Step 6: Final answer
    x = 428.28

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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.