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Finding the Fourth Proportional to 592.76, 889.37 and 227.47

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Solution

The fourth proportional to 592.76, 889.37 and 227.47 is: 341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.76 : 889.37 = 227.47 : x
  2. Step 2: Convert to fraction form
    592.76/889.37 = 227.47/x
  3. Step 3: Cross multiply
    592.76x = 889.37 × 227.47
  4. Step 4: Simplify right side
    592.76x = 202,302.29
  5. Step 5: Solve for x
    x = 202,302.29/592.76
  6. Step 6: Final answer
    x = 341.29

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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.