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Finding the Fourth Proportional to 908.70, 1,362.87 and 414.98

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Solution

The fourth proportional to 908.70, 1,362.87 and 414.98 is: 622.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.70 : 1,362.87 = 414.98 : x
  2. Step 2: Convert to fraction form
    908.70/1,362.87 = 414.98/x
  3. Step 3: Cross multiply
    908.70x = 1,362.87 × 414.98
  4. Step 4: Simplify right side
    908.70x = 565,556.98
  5. Step 5: Solve for x
    x = 565,556.98/908.70
  6. Step 6: Final answer
    x = 622.38

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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.