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Finding the Fourth Proportional to 406.67, 561.23 and 232.02

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Solution

The fourth proportional to 406.67, 561.23 and 232.02 is: 320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.67 : 561.23 = 232.02 : x
  2. Step 2: Convert to fraction form
    406.67/561.23 = 232.02/x
  3. Step 3: Cross multiply
    406.67x = 561.23 × 232.02
  4. Step 4: Simplify right side
    406.67x = 130,215.42
  5. Step 5: Solve for x
    x = 130,215.42/406.67
  6. Step 6: Final answer
    x = 320.20

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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.