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Finding the Fourth Proportional to 331.08, 456.76 and 213.03

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Solution

The fourth proportional to 331.08, 456.76 and 213.03 is: 293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.08 : 456.76 = 213.03 : x
  2. Step 2: Convert to fraction form
    331.08/456.76 = 213.03/x
  3. Step 3: Cross multiply
    331.08x = 456.76 × 213.03
  4. Step 4: Simplify right side
    331.08x = 97,303.34
  5. Step 5: Solve for x
    x = 97,303.34/331.08
  6. Step 6: Final answer
    x = 293.90

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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.