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Finding the Fourth Proportional to 331.81, 457.30 and 294.91

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Solution

The fourth proportional to 331.81, 457.30 and 294.91 is: 406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.81 : 457.30 = 294.91 : x
  2. Step 2: Convert to fraction form
    331.81/457.30 = 294.91/x
  3. Step 3: Cross multiply
    331.81x = 457.30 × 294.91
  4. Step 4: Simplify right side
    331.81x = 134,862.34
  5. Step 5: Solve for x
    x = 134,862.34/331.81
  6. Step 6: Final answer
    x = 406.44

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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.