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Finding the Fourth Proportional to 721.02, 994.97 and 406.30

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Solution

The fourth proportional to 721.02, 994.97 and 406.30 is: 560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.02 : 994.97 = 406.30 : x
  2. Step 2: Convert to fraction form
    721.02/994.97 = 406.30/x
  3. Step 3: Cross multiply
    721.02x = 994.97 × 406.30
  4. Step 4: Simplify right side
    721.02x = 404,251.79
  5. Step 5: Solve for x
    x = 404,251.79/721.02
  6. Step 6: Final answer
    x = 560.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.