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Finding the Fourth Proportional to 572.38, 857.93 and 225.65

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Solution

The fourth proportional to 572.38, 857.93 and 225.65 is: 338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.38 : 857.93 = 225.65 : x
  2. Step 2: Convert to fraction form
    572.38/857.93 = 225.65/x
  3. Step 3: Cross multiply
    572.38x = 857.93 × 225.65
  4. Step 4: Simplify right side
    572.38x = 193,592.92
  5. Step 5: Solve for x
    x = 193,592.92/572.38
  6. Step 6: Final answer
    x = 338.23

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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.