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Finding the Fourth Proportional to 428.69, 641.64 and 233.21

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Solution

The fourth proportional to 428.69, 641.64 and 233.21 is: 349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.69 : 641.64 = 233.21 : x
  2. Step 2: Convert to fraction form
    428.69/641.64 = 233.21/x
  3. Step 3: Cross multiply
    428.69x = 641.64 × 233.21
  4. Step 4: Simplify right side
    428.69x = 149,633.66
  5. Step 5: Solve for x
    x = 149,633.66/428.69
  6. Step 6: Final answer
    x = 349.05

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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.