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Finding the Fourth Proportional to 590.63, 886.21 and 225.38

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Solution

The fourth proportional to 590.63, 886.21 and 225.38 is: 338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.63 : 886.21 = 225.38 : x
  2. Step 2: Convert to fraction form
    590.63/886.21 = 225.38/x
  3. Step 3: Cross multiply
    590.63x = 886.21 × 225.38
  4. Step 4: Simplify right side
    590.63x = 199,735.66
  5. Step 5: Solve for x
    x = 199,735.66/590.63
  6. Step 6: Final answer
    x = 338.18

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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.