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Finding the Fourth Proportional to 592.52, 888.14 and 227.15

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Solution

The fourth proportional to 592.52, 888.14 and 227.15 is: 340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.52 : 888.14 = 227.15 : x
  2. Step 2: Convert to fraction form
    592.52/888.14 = 227.15/x
  3. Step 3: Cross multiply
    592.52x = 888.14 × 227.15
  4. Step 4: Simplify right side
    592.52x = 201,739.87
  5. Step 5: Solve for x
    x = 201,739.87/592.52
  6. Step 6: Final answer
    x = 340.48

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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.