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Finding the Fourth Proportional to 433.06, 593.81 and 427.59

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Solution

The fourth proportional to 433.06, 593.81 and 427.59 is: 586.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.06 : 593.81 = 427.59 : x
  2. Step 2: Convert to fraction form
    433.06/593.81 = 427.59/x
  3. Step 3: Cross multiply
    433.06x = 593.81 × 427.59
  4. Step 4: Simplify right side
    433.06x = 253,906.68
  5. Step 5: Solve for x
    x = 253,906.68/433.06
  6. Step 6: Final answer
    x = 586.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.