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Finding the Fourth Proportional to 593.14, 819.24 and 446.44

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Solution

The fourth proportional to 593.14, 819.24 and 446.44 is: 616.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.14 : 819.24 = 446.44 : x
  2. Step 2: Convert to fraction form
    593.14/819.24 = 446.44/x
  3. Step 3: Cross multiply
    593.14x = 819.24 × 446.44
  4. Step 4: Simplify right side
    593.14x = 365,741.51
  5. Step 5: Solve for x
    x = 365,741.51/593.14
  6. Step 6: Final answer
    x = 616.62

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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.