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Finding the Fourth Proportional to 593.24, 819.60 and 494.96

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Solution

The fourth proportional to 593.24, 819.60 and 494.96 is: 683.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.24 : 819.60 = 494.96 : x
  2. Step 2: Convert to fraction form
    593.24/819.60 = 494.96/x
  3. Step 3: Cross multiply
    593.24x = 819.60 × 494.96
  4. Step 4: Simplify right side
    593.24x = 405,669.22
  5. Step 5: Solve for x
    x = 405,669.22/593.24
  6. Step 6: Final answer
    x = 683.82

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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.