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Finding the Fourth Proportional to 462.21, 637.82 and 252.37

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Solution

The fourth proportional to 462.21, 637.82 and 252.37 is: 348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.21 : 637.82 = 252.37 : x
  2. Step 2: Convert to fraction form
    462.21/637.82 = 252.37/x
  3. Step 3: Cross multiply
    462.21x = 637.82 × 252.37
  4. Step 4: Simplify right side
    462.21x = 160,965.28
  5. Step 5: Solve for x
    x = 160,965.28/462.21
  6. Step 6: Final answer
    x = 348.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.