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Finding the Fourth Proportional to 609.48, 913.87 and 414.67

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Solution

The fourth proportional to 609.48, 913.87 and 414.67 is: 621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.48 : 913.87 = 414.67 : x
  2. Step 2: Convert to fraction form
    609.48/913.87 = 414.67/x
  3. Step 3: Cross multiply
    609.48x = 913.87 × 414.67
  4. Step 4: Simplify right side
    609.48x = 378,954.47
  5. Step 5: Solve for x
    x = 378,954.47/609.48
  6. Step 6: Final answer
    x = 621.77

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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.