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Finding the Fourth Proportional to 406.54, 561.09 and 231.85

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Solution

The fourth proportional to 406.54, 561.09 and 231.85 is: 319.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.54 : 561.09 = 231.85 : x
  2. Step 2: Convert to fraction form
    406.54/561.09 = 231.85/x
  3. Step 3: Cross multiply
    406.54x = 561.09 × 231.85
  4. Step 4: Simplify right side
    406.54x = 130,088.72
  5. Step 5: Solve for x
    x = 130,088.72/406.54
  6. Step 6: Final answer
    x = 319.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.