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Finding the Fourth Proportional to 593.44, 888.72 and 512.80

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Solution

The fourth proportional to 593.44, 888.72 and 512.80 is: 767.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.44 : 888.72 = 512.80 : x
  2. Step 2: Convert to fraction form
    593.44/888.72 = 512.80/x
  3. Step 3: Cross multiply
    593.44x = 888.72 × 512.80
  4. Step 4: Simplify right side
    593.44x = 455,735.62
  5. Step 5: Solve for x
    x = 455,735.62/593.44
  6. Step 6: Final answer
    x = 767.96

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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.