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Finding the Fourth Proportional to 331.41, 497.12 and 209.51

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Solution

The fourth proportional to 331.41, 497.12 and 209.51 is: 314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.41 : 497.12 = 209.51 : x
  2. Step 2: Convert to fraction form
    331.41/497.12 = 209.51/x
  3. Step 3: Cross multiply
    331.41x = 497.12 × 209.51
  4. Step 4: Simplify right side
    331.41x = 104,151.61
  5. Step 5: Solve for x
    x = 104,151.61/331.41
  6. Step 6: Final answer
    x = 314.27

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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.