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Finding the Fourth Proportional to 406.59, 561.11 and 231.93

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Solution

The fourth proportional to 406.59, 561.11 and 231.93 is: 320.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.59 : 561.11 = 231.93 : x
  2. Step 2: Convert to fraction form
    406.59/561.11 = 231.93/x
  3. Step 3: Cross multiply
    406.59x = 561.11 × 231.93
  4. Step 4: Simplify right side
    406.59x = 130,138.24
  5. Step 5: Solve for x
    x = 130,138.24/406.59
  6. Step 6: Final answer
    x = 320.07

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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.