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Finding the Fourth Proportional to 407.07, 609.84 and 224.22

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Solution

The fourth proportional to 407.07, 609.84 and 224.22 is: 335.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.07 : 609.84 = 224.22 : x
  2. Step 2: Convert to fraction form
    407.07/609.84 = 224.22/x
  3. Step 3: Cross multiply
    407.07x = 609.84 × 224.22
  4. Step 4: Simplify right side
    407.07x = 136,738.32
  5. Step 5: Solve for x
    x = 136,738.32/407.07
  6. Step 6: Final answer
    x = 335.91

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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.