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Finding the Fourth Proportional to 807.21, 1,211.17 and 396.23

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Solution

The fourth proportional to 807.21, 1,211.17 and 396.23 is: 594.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.21 : 1,211.17 = 396.23 : x
  2. Step 2: Convert to fraction form
    807.21/1,211.17 = 396.23/x
  3. Step 3: Cross multiply
    807.21x = 1,211.17 × 396.23
  4. Step 4: Simplify right side
    807.21x = 479,903.93
  5. Step 5: Solve for x
    x = 479,903.93/807.21
  6. Step 6: Final answer
    x = 594.52

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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.