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Finding the Fourth Proportional to 331.16, 497.44 and 209.51

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Solution

The fourth proportional to 331.16, 497.44 and 209.51 is: 314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.16 : 497.44 = 209.51 : x
  2. Step 2: Convert to fraction form
    331.16/497.44 = 209.51/x
  3. Step 3: Cross multiply
    331.16x = 497.44 × 209.51
  4. Step 4: Simplify right side
    331.16x = 104,218.65
  5. Step 5: Solve for x
    x = 104,218.65/331.16
  6. Step 6: Final answer
    x = 314.71

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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.