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Finding the Fourth Proportional to 331.03, 457.03 and 213.04

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Solution

The fourth proportional to 331.03, 457.03 and 213.04 is: 294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.03 : 457.03 = 213.04 : x
  2. Step 2: Convert to fraction form
    331.03/457.03 = 213.04/x
  3. Step 3: Cross multiply
    331.03x = 457.03 × 213.04
  4. Step 4: Simplify right side
    331.03x = 97,366.60
  5. Step 5: Solve for x
    x = 97,366.60/331.03
  6. Step 6: Final answer
    x = 294.14

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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.