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Finding the Fourth Proportional to 428.70, 643.04 and 233.79

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Solution

The fourth proportional to 428.70, 643.04 and 233.79 is: 350.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.70 : 643.04 = 233.79 : x
  2. Step 2: Convert to fraction form
    428.70/643.04 = 233.79/x
  3. Step 3: Cross multiply
    428.70x = 643.04 × 233.79
  4. Step 4: Simplify right side
    428.70x = 150,336.32
  5. Step 5: Solve for x
    x = 150,336.32/428.70
  6. Step 6: Final answer
    x = 350.68

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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.