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Finding the Fourth Proportional to 680.00, 938.18 and 431.22

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Solution

The fourth proportional to 680.00, 938.18 and 431.22 is: 594.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.00 : 938.18 = 431.22 : x
  2. Step 2: Convert to fraction form
    680.00/938.18 = 431.22/x
  3. Step 3: Cross multiply
    680.00x = 938.18 × 431.22
  4. Step 4: Simplify right side
    680.00x = 404,566.58
  5. Step 5: Solve for x
    x = 404,566.58/680.00
  6. Step 6: Final answer
    x = 594.96

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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.