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Finding the Fourth Proportional to 428.37, 641.49 and 359.73

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Solution

The fourth proportional to 428.37, 641.49 and 359.73 is: 538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.37 : 641.49 = 359.73 : x
  2. Step 2: Convert to fraction form
    428.37/641.49 = 359.73/x
  3. Step 3: Cross multiply
    428.37x = 641.49 × 359.73
  4. Step 4: Simplify right side
    428.37x = 230,763.20
  5. Step 5: Solve for x
    x = 230,763.20/428.37
  6. Step 6: Final answer
    x = 538.70

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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.