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Finding the Fourth Proportional to 406.62, 610.23 and 315.09

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Solution

The fourth proportional to 406.62, 610.23 and 315.09 is: 472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.62 : 610.23 = 315.09 : x
  2. Step 2: Convert to fraction form
    406.62/610.23 = 315.09/x
  3. Step 3: Cross multiply
    406.62x = 610.23 × 315.09
  4. Step 4: Simplify right side
    406.62x = 192,277.37
  5. Step 5: Solve for x
    x = 192,277.37/406.62
  6. Step 6: Final answer
    x = 472.87

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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.