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Finding the Fourth Proportional to 593.24, 889.53 and 319.25

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Solution

The fourth proportional to 593.24, 889.53 and 319.25 is: 478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.24 : 889.53 = 319.25 : x
  2. Step 2: Convert to fraction form
    593.24/889.53 = 319.25/x
  3. Step 3: Cross multiply
    593.24x = 889.53 × 319.25
  4. Step 4: Simplify right side
    593.24x = 283,982.45
  5. Step 5: Solve for x
    x = 283,982.45/593.24
  6. Step 6: Final answer
    x = 478.70

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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.