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Finding the Fourth Proportional to 406.54, 561 and 231.94

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Solution

The fourth proportional to 406.54, 561 and 231.94 is: 320.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.54 : 561 = 231.94 : x
  2. Step 2: Convert to fraction form
    406.54/561 = 231.94/x
  3. Step 3: Cross multiply
    406.54x = 561 × 231.94
  4. Step 4: Simplify right side
    406.54x = 130,118.34
  5. Step 5: Solve for x
    x = 130,118.34/406.54
  6. Step 6: Final answer
    x = 320.06

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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.