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Finding the Fourth Proportional to 593.45, 889.83 and 285.17

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Solution

The fourth proportional to 593.45, 889.83 and 285.17 is: 427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.45 : 889.83 = 285.17 : x
  2. Step 2: Convert to fraction form
    593.45/889.83 = 285.17/x
  3. Step 3: Cross multiply
    593.45x = 889.83 × 285.17
  4. Step 4: Simplify right side
    593.45x = 253,748.37
  5. Step 5: Solve for x
    x = 253,748.37/593.45
  6. Step 6: Final answer
    x = 427.58

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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.