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Finding the Fourth Proportional to 590.47, 886.14 and 225.37

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Solution

The fourth proportional to 590.47, 886.14 and 225.37 is: 338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.47 : 886.14 = 225.37 : x
  2. Step 2: Convert to fraction form
    590.47/886.14 = 225.37/x
  3. Step 3: Cross multiply
    590.47x = 886.14 × 225.37
  4. Step 4: Simplify right side
    590.47x = 199,709.37
  5. Step 5: Solve for x
    x = 199,709.37/590.47
  6. Step 6: Final answer
    x = 338.22

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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.