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Finding the Fourth Proportional to 407.23, 609.60 and 224.07

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Solution

The fourth proportional to 407.23, 609.60 and 224.07 is: 335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.23 : 609.60 = 224.07 : x
  2. Step 2: Convert to fraction form
    407.23/609.60 = 224.07/x
  3. Step 3: Cross multiply
    407.23x = 609.60 × 224.07
  4. Step 4: Simplify right side
    407.23x = 136,591.63
  5. Step 5: Solve for x
    x = 136,591.63/407.23
  6. Step 6: Final answer
    x = 335.42

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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.