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Finding the Fourth Proportional to 331.09, 497.14 and 316.48

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Solution

The fourth proportional to 331.09, 497.14 and 316.48 is: 475.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.09 : 497.14 = 316.48 : x
  2. Step 2: Convert to fraction form
    331.09/497.14 = 316.48/x
  3. Step 3: Cross multiply
    331.09x = 497.14 × 316.48
  4. Step 4: Simplify right side
    331.09x = 157,334.87
  5. Step 5: Solve for x
    x = 157,334.87/331.09
  6. Step 6: Final answer
    x = 475.20

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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.