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Finding the Fourth Proportional to 593.70, 819.33 and 446.82

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Solution

The fourth proportional to 593.70, 819.33 and 446.82 is: 616.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.70 : 819.33 = 446.82 : x
  2. Step 2: Convert to fraction form
    593.70/819.33 = 446.82/x
  3. Step 3: Cross multiply
    593.70x = 819.33 × 446.82
  4. Step 4: Simplify right side
    593.70x = 366,093.03
  5. Step 5: Solve for x
    x = 366,093.03/593.70
  6. Step 6: Final answer
    x = 616.63

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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.