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Finding the Fourth Proportional to 406.58, 561.09 and 231.94

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Solution

The fourth proportional to 406.58, 561.09 and 231.94 is: 320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.58 : 561.09 = 231.94 : x
  2. Step 2: Convert to fraction form
    406.58/561.09 = 231.94/x
  3. Step 3: Cross multiply
    406.58x = 561.09 × 231.94
  4. Step 4: Simplify right side
    406.58x = 130,139.21
  5. Step 5: Solve for x
    x = 130,139.21/406.58
  6. Step 6: Final answer
    x = 320.08

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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.