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Finding the Fourth Proportional to 680.34, 938.30 and 459.20

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Solution

The fourth proportional to 680.34, 938.30 and 459.20 is: 633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.34 : 938.30 = 459.20 : x
  2. Step 2: Convert to fraction form
    680.34/938.30 = 459.20/x
  3. Step 3: Cross multiply
    680.34x = 938.30 × 459.20
  4. Step 4: Simplify right side
    680.34x = 430,867.36
  5. Step 5: Solve for x
    x = 430,867.36/680.34
  6. Step 6: Final answer
    x = 633.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.