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Finding the Fourth Proportional to 593.53, 889.73 and 285.22

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Solution

The fourth proportional to 593.53, 889.73 and 285.22 is: 427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.53 : 889.73 = 285.22 : x
  2. Step 2: Convert to fraction form
    593.53/889.73 = 285.22/x
  3. Step 3: Cross multiply
    593.53x = 889.73 × 285.22
  4. Step 4: Simplify right side
    593.53x = 253,765.14
  5. Step 5: Solve for x
    x = 253,765.14/593.53
  6. Step 6: Final answer
    x = 427.55

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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.