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Finding the Fourth Proportional to 406.57, 561.08 and 231.91

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Solution

The fourth proportional to 406.57, 561.08 and 231.91 is: 320.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.57 : 561.08 = 231.91 : x
  2. Step 2: Convert to fraction form
    406.57/561.08 = 231.91/x
  3. Step 3: Cross multiply
    406.57x = 561.08 × 231.91
  4. Step 4: Simplify right side
    406.57x = 130,120.06
  5. Step 5: Solve for x
    x = 130,120.06/406.57
  6. Step 6: Final answer
    x = 320.04

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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.