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Finding the Fourth Proportional to 406.50, 561.02 and 231.86

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Solution

The fourth proportional to 406.50, 561.02 and 231.86 is: 319.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.50 : 561.02 = 231.86 : x
  2. Step 2: Convert to fraction form
    406.50/561.02 = 231.86/x
  3. Step 3: Cross multiply
    406.50x = 561.02 × 231.86
  4. Step 4: Simplify right side
    406.50x = 130,074.13
  5. Step 5: Solve for x
    x = 130,074.13/406.50
  6. Step 6: Final answer
    x = 319.99

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