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Finding the Fourth Proportional to 593.60, 889.59 and 329.43

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Solution

The fourth proportional to 593.60, 889.59 and 329.43 is: 493.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.60 : 889.59 = 329.43 : x
  2. Step 2: Convert to fraction form
    593.60/889.59 = 329.43/x
  3. Step 3: Cross multiply
    593.60x = 889.59 × 329.43
  4. Step 4: Simplify right side
    593.60x = 293,054.30
  5. Step 5: Solve for x
    x = 293,054.30/593.60
  6. Step 6: Final answer
    x = 493.69

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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.