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Finding the Fourth Proportional to 593.87, 819.50 and 357.77

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Solution

The fourth proportional to 593.87, 819.50 and 357.77 is: 493.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.87 : 819.50 = 357.77 : x
  2. Step 2: Convert to fraction form
    593.87/819.50 = 357.77/x
  3. Step 3: Cross multiply
    593.87x = 819.50 × 357.77
  4. Step 4: Simplify right side
    593.87x = 293,190.73
  5. Step 5: Solve for x
    x = 293,190.73/593.87
  6. Step 6: Final answer
    x = 493.70

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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.