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Finding the Fourth Proportional to 453.59, 680.74 and 234.20

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Solution

The fourth proportional to 453.59, 680.74 and 234.20 is: 351.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.59 : 680.74 = 234.20 : x
  2. Step 2: Convert to fraction form
    453.59/680.74 = 234.20/x
  3. Step 3: Cross multiply
    453.59x = 680.74 × 234.20
  4. Step 4: Simplify right side
    453.59x = 159,429.31
  5. Step 5: Solve for x
    x = 159,429.31/453.59
  6. Step 6: Final answer
    x = 351.48

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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.