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Finding the Fourth Proportional to 593.76, 891.45 and 447.96

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Solution

The fourth proportional to 593.76, 891.45 and 447.96 is: 672.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.76 : 891.45 = 447.96 : x
  2. Step 2: Convert to fraction form
    593.76/891.45 = 447.96/x
  3. Step 3: Cross multiply
    593.76x = 891.45 × 447.96
  4. Step 4: Simplify right side
    593.76x = 399,333.94
  5. Step 5: Solve for x
    x = 399,333.94/593.76
  6. Step 6: Final answer
    x = 672.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.