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Finding the Fourth Proportional to 593.20, 889.80 and 259.61

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Solution

The fourth proportional to 593.20, 889.80 and 259.61 is: 389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.20 : 889.80 = 259.61 : x
  2. Step 2: Convert to fraction form
    593.20/889.80 = 259.61/x
  3. Step 3: Cross multiply
    593.20x = 889.80 × 259.61
  4. Step 4: Simplify right side
    593.20x = 231,000.98
  5. Step 5: Solve for x
    x = 231,000.98/593.20
  6. Step 6: Final answer
    x = 389.42

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Why These Related Problems?

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