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Finding the Fourth Proportional to 331.25, 497.07 and 209.34

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Solution

The fourth proportional to 331.25, 497.07 and 209.34 is: 314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.25 : 497.07 = 209.34 : x
  2. Step 2: Convert to fraction form
    331.25/497.07 = 209.34/x
  3. Step 3: Cross multiply
    331.25x = 497.07 × 209.34
  4. Step 4: Simplify right side
    331.25x = 104,056.63
  5. Step 5: Solve for x
    x = 104,056.63/331.25
  6. Step 6: Final answer
    x = 314.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.