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Finding the Fourth Proportional to 331.48, 494.51 and 327.16

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Solution

The fourth proportional to 331.48, 494.51 and 327.16 is: 488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.48 : 494.51 = 327.16 : x
  2. Step 2: Convert to fraction form
    331.48/494.51 = 327.16/x
  3. Step 3: Cross multiply
    331.48x = 494.51 × 327.16
  4. Step 4: Simplify right side
    331.48x = 161,783.89
  5. Step 5: Solve for x
    x = 161,783.89/331.48
  6. Step 6: Final answer
    x = 488.07

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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.