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Finding the Fourth Proportional to 593.25, 819.09 and 360.78

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Solution

The fourth proportional to 593.25, 819.09 and 360.78 is: 498.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.25 : 819.09 = 360.78 : x
  2. Step 2: Convert to fraction form
    593.25/819.09 = 360.78/x
  3. Step 3: Cross multiply
    593.25x = 819.09 × 360.78
  4. Step 4: Simplify right side
    593.25x = 295,511.29
  5. Step 5: Solve for x
    x = 295,511.29/593.25
  6. Step 6: Final answer
    x = 498.12

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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.