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Finding the Fourth Proportional to 593.56, 889.24 and 319.24

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Solution

The fourth proportional to 593.56, 889.24 and 319.24 is: 478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.56 : 889.24 = 319.24 : x
  2. Step 2: Convert to fraction form
    593.56/889.24 = 319.24/x
  3. Step 3: Cross multiply
    593.56x = 889.24 × 319.24
  4. Step 4: Simplify right side
    593.56x = 283,880.98
  5. Step 5: Solve for x
    x = 283,880.98/593.56
  6. Step 6: Final answer
    x = 478.27

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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.