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Finding the Fourth Proportional to 453.74, 680.34 and 206.90

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Solution

The fourth proportional to 453.74, 680.34 and 206.90 is: 310.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.74 : 680.34 = 206.90 : x
  2. Step 2: Convert to fraction form
    453.74/680.34 = 206.90/x
  3. Step 3: Cross multiply
    453.74x = 680.34 × 206.90
  4. Step 4: Simplify right side
    453.74x = 140,762.35
  5. Step 5: Solve for x
    x = 140,762.35/453.74
  6. Step 6: Final answer
    x = 310.23

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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.