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Finding the Fourth Proportional to 594.20, 819.96 and 332.21

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Solution

The fourth proportional to 594.20, 819.96 and 332.21 is: 458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.20 : 819.96 = 332.21 : x
  2. Step 2: Convert to fraction form
    594.20/819.96 = 332.21/x
  3. Step 3: Cross multiply
    594.20x = 819.96 × 332.21
  4. Step 4: Simplify right side
    594.20x = 272,398.91
  5. Step 5: Solve for x
    x = 272,398.91/594.20
  6. Step 6: Final answer
    x = 458.43

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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.