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Finding the Fourth Proportional to 407.30, 609.74 and 224.15

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Solution

The fourth proportional to 407.30, 609.74 and 224.15 is: 335.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.30 : 609.74 = 224.15 : x
  2. Step 2: Convert to fraction form
    407.30/609.74 = 224.15/x
  3. Step 3: Cross multiply
    407.30x = 609.74 × 224.15
  4. Step 4: Simplify right side
    407.30x = 136,669.05
  5. Step 5: Solve for x
    x = 136,669.05/407.30
  6. Step 6: Final answer
    x = 335.55

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Why These Related Problems?

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