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Finding the Fourth Proportional to 592.56, 889.02 and 227.25

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Solution

The fourth proportional to 592.56, 889.02 and 227.25 is: 340.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.56 : 889.02 = 227.25 : x
  2. Step 2: Convert to fraction form
    592.56/889.02 = 227.25/x
  3. Step 3: Cross multiply
    592.56x = 889.02 × 227.25
  4. Step 4: Simplify right side
    592.56x = 202,029.80
  5. Step 5: Solve for x
    x = 202,029.80/592.56
  6. Step 6: Final answer
    x = 340.94

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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.