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Finding the Fourth Proportional to 453.70, 679.13 and 323.29

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Solution

The fourth proportional to 453.70, 679.13 and 323.29 is: 483.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.70 : 679.13 = 323.29 : x
  2. Step 2: Convert to fraction form
    453.70/679.13 = 323.29/x
  3. Step 3: Cross multiply
    453.70x = 679.13 × 323.29
  4. Step 4: Simplify right side
    453.70x = 219,550.93
  5. Step 5: Solve for x
    x = 219,550.93/453.70
  6. Step 6: Final answer
    x = 483.92

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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.