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Finding the Fourth Proportional to 592.30, 888.42 and 227.06

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Solution

The fourth proportional to 592.30, 888.42 and 227.06 is: 340.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.30 : 888.42 = 227.06 : x
  2. Step 2: Convert to fraction form
    592.30/888.42 = 227.06/x
  3. Step 3: Cross multiply
    592.30x = 888.42 × 227.06
  4. Step 4: Simplify right side
    592.30x = 201,724.65
  5. Step 5: Solve for x
    x = 201,724.65/592.30
  6. Step 6: Final answer
    x = 340.58

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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.