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Finding the Fourth Proportional to 593.82, 819.63 and 372.84

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Solution

The fourth proportional to 593.82, 819.63 and 372.84 is: 514.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.82 : 819.63 = 372.84 : x
  2. Step 2: Convert to fraction form
    593.82/819.63 = 372.84/x
  3. Step 3: Cross multiply
    593.82x = 819.63 × 372.84
  4. Step 4: Simplify right side
    593.82x = 305,590.85
  5. Step 5: Solve for x
    x = 305,590.85/593.82
  6. Step 6: Final answer
    x = 514.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.