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Finding the Fourth Proportional to 594.20, 819.98 and 332.20

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Solution

The fourth proportional to 594.20, 819.98 and 332.20 is: 458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.20 : 819.98 = 332.20 : x
  2. Step 2: Convert to fraction form
    594.20/819.98 = 332.20/x
  3. Step 3: Cross multiply
    594.20x = 819.98 × 332.20
  4. Step 4: Simplify right side
    594.20x = 272,397.36
  5. Step 5: Solve for x
    x = 272,397.36/594.20
  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.