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Finding the Fourth Proportional to 673.20, 1,010.34 and 348.66

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Solution

The fourth proportional to 673.20, 1,010.34 and 348.66 is: 523.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.20 : 1,010.34 = 348.66 : x
  2. Step 2: Convert to fraction form
    673.20/1,010.34 = 348.66/x
  3. Step 3: Cross multiply
    673.20x = 1,010.34 × 348.66
  4. Step 4: Simplify right side
    673.20x = 352,265.14
  5. Step 5: Solve for x
    x = 352,265.14/673.20
  6. Step 6: Final answer
    x = 523.27

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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.