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Finding the Fourth Proportional to 428.24, 641.08 and 331.60

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Solution

The fourth proportional to 428.24, 641.08 and 331.60 is: 496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.24 : 641.08 = 331.60 : x
  2. Step 2: Convert to fraction form
    428.24/641.08 = 331.60/x
  3. Step 3: Cross multiply
    428.24x = 641.08 × 331.60
  4. Step 4: Simplify right side
    428.24x = 212,582.13
  5. Step 5: Solve for x
    x = 212,582.13/428.24
  6. Step 6: Final answer
    x = 496.41

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Why These Related Problems?

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