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Finding the Fourth Proportional to 406.89, 561.45 and 229.87

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Solution

The fourth proportional to 406.89, 561.45 and 229.87 is: 317.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.89 : 561.45 = 229.87 : x
  2. Step 2: Convert to fraction form
    406.89/561.45 = 229.87/x
  3. Step 3: Cross multiply
    406.89x = 561.45 × 229.87
  4. Step 4: Simplify right side
    406.89x = 129,062.08
  5. Step 5: Solve for x
    x = 129,062.08/406.89
  6. Step 6: Final answer
    x = 317.19

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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.