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Finding the Fourth Proportional to 593.44, 890.18 and 259.86

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Solution

The fourth proportional to 593.44, 890.18 and 259.86 is: 389.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.44 : 890.18 = 259.86 : x
  2. Step 2: Convert to fraction form
    593.44/890.18 = 259.86/x
  3. Step 3: Cross multiply
    593.44x = 890.18 × 259.86
  4. Step 4: Simplify right side
    593.44x = 231,322.17
  5. Step 5: Solve for x
    x = 231,322.17/593.44
  6. Step 6: Final answer
    x = 389.80

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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.