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Finding the Fourth Proportional to 427.53, 641.30 and 423.28

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Solution

The fourth proportional to 427.53, 641.30 and 423.28 is: 634.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.53 : 641.30 = 423.28 : x
  2. Step 2: Convert to fraction form
    427.53/641.30 = 423.28/x
  3. Step 3: Cross multiply
    427.53x = 641.30 × 423.28
  4. Step 4: Simplify right side
    427.53x = 271,449.46
  5. Step 5: Solve for x
    x = 271,449.46/427.53
  6. Step 6: Final answer
    x = 634.92

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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.