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Finding the Fourth Proportional to 593.96, 819.86 and 361

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Solution

The fourth proportional to 593.96, 819.86 and 361 is: 498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.96 : 819.86 = 361 : x
  2. Step 2: Convert to fraction form
    593.96/819.86 = 361/x
  3. Step 3: Cross multiply
    593.96x = 819.86 × 361
  4. Step 4: Simplify right side
    593.96x = 295,969.46
  5. Step 5: Solve for x
    x = 295,969.46/593.96
  6. Step 6: Final answer
    x = 498.30

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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.