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Finding the Fourth Proportional to 442.02, 662.14 and 211.13

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Solution

The fourth proportional to 442.02, 662.14 and 211.13 is: 316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.02 : 662.14 = 211.13 : x
  2. Step 2: Convert to fraction form
    442.02/662.14 = 211.13/x
  3. Step 3: Cross multiply
    442.02x = 662.14 × 211.13
  4. Step 4: Simplify right side
    442.02x = 139,797.62
  5. Step 5: Solve for x
    x = 139,797.62/442.02
  6. Step 6: Final answer
    x = 316.27

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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.