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Finding the Fourth Proportional to 333.21, 497.21 and 331.30

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Solution

The fourth proportional to 333.21, 497.21 and 331.30 is: 494.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.21 : 497.21 = 331.30 : x
  2. Step 2: Convert to fraction form
    333.21/497.21 = 331.30/x
  3. Step 3: Cross multiply
    333.21x = 497.21 × 331.30
  4. Step 4: Simplify right side
    333.21x = 164,723.70
  5. Step 5: Solve for x
    x = 164,723.70/333.21
  6. Step 6: Final answer
    x = 494.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.