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Finding the Fourth Proportional to 673.30, 1,010.12 and 234.55

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Solution

The fourth proportional to 673.30, 1,010.12 and 234.55 is: 351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.30 : 1,010.12 = 234.55 : x
  2. Step 2: Convert to fraction form
    673.30/1,010.12 = 234.55/x
  3. Step 3: Cross multiply
    673.30x = 1,010.12 × 234.55
  4. Step 4: Simplify right side
    673.30x = 236,923.65
  5. Step 5: Solve for x
    x = 236,923.65/673.30
  6. Step 6: Final answer
    x = 351.88

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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.