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Finding the Fourth Proportional to 593.73, 889.80 and 319.23

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Solution

The fourth proportional to 593.73, 889.80 and 319.23 is: 478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.73 : 889.80 = 319.23 : x
  2. Step 2: Convert to fraction form
    593.73/889.80 = 319.23/x
  3. Step 3: Cross multiply
    593.73x = 889.80 × 319.23
  4. Step 4: Simplify right side
    593.73x = 284,050.85
  5. Step 5: Solve for x
    x = 284,050.85/593.73
  6. Step 6: Final answer
    x = 478.42

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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.