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Finding the Fourth Proportional to 590.88, 886.32 and 225.78

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Solution

The fourth proportional to 590.88, 886.32 and 225.78 is: 338.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.88 : 886.32 = 225.78 : x
  2. Step 2: Convert to fraction form
    590.88/886.32 = 225.78/x
  3. Step 3: Cross multiply
    590.88x = 886.32 × 225.78
  4. Step 4: Simplify right side
    590.88x = 200,113.33
  5. Step 5: Solve for x
    x = 200,113.33/590.88
  6. Step 6: Final answer
    x = 338.67

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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.