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Finding the Fourth Proportional to 593.17, 889.75 and 465.73

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Solution

The fourth proportional to 593.17, 889.75 and 465.73 is: 698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.17 : 889.75 = 465.73 : x
  2. Step 2: Convert to fraction form
    593.17/889.75 = 465.73/x
  3. Step 3: Cross multiply
    593.17x = 889.75 × 465.73
  4. Step 4: Simplify right side
    593.17x = 414,383.27
  5. Step 5: Solve for x
    x = 414,383.27/593.17
  6. Step 6: Final answer
    x = 698.59

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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.