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Finding the Fourth Proportional to 593.60, 889.92 and 264.31

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Solution

The fourth proportional to 593.60, 889.92 and 264.31 is: 396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.60 : 889.92 = 264.31 : x
  2. Step 2: Convert to fraction form
    593.60/889.92 = 264.31/x
  3. Step 3: Cross multiply
    593.60x = 889.92 × 264.31
  4. Step 4: Simplify right side
    593.60x = 235,212.53
  5. Step 5: Solve for x
    x = 235,212.53/593.60
  6. Step 6: Final answer
    x = 396.25

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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.