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Finding the Fourth Proportional to 406.48, 609.92 and 244.48

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Solution

The fourth proportional to 406.48, 609.92 and 244.48 is: 366.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.48 : 609.92 = 244.48 : x
  2. Step 2: Convert to fraction form
    406.48/609.92 = 244.48/x
  3. Step 3: Cross multiply
    406.48x = 609.92 × 244.48
  4. Step 4: Simplify right side
    406.48x = 149,113.24
  5. Step 5: Solve for x
    x = 149,113.24/406.48
  6. Step 6: Final answer
    x = 366.84

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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.