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Finding the Fourth Proportional to 406.54, 609.53 and 224.02

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Solution

The fourth proportional to 406.54, 609.53 and 224.02 is: 335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.54 : 609.53 = 224.02 : x
  2. Step 2: Convert to fraction form
    406.54/609.53 = 224.02/x
  3. Step 3: Cross multiply
    406.54x = 609.53 × 224.02
  4. Step 4: Simplify right side
    406.54x = 136,543.86
  5. Step 5: Solve for x
    x = 136,543.86/406.54
  6. Step 6: Final answer
    x = 335.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.