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Finding the Fourth Proportional to 593.74, 819.30 and 396.91

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Solution

The fourth proportional to 593.74, 819.30 and 396.91 is: 547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.74 : 819.30 = 396.91 : x
  2. Step 2: Convert to fraction form
    593.74/819.30 = 396.91/x
  3. Step 3: Cross multiply
    593.74x = 819.30 × 396.91
  4. Step 4: Simplify right side
    593.74x = 325,188.36
  5. Step 5: Solve for x
    x = 325,188.36/593.74
  6. Step 6: Final answer
    x = 547.69

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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.