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Finding the Fourth Proportional to 331.64, 493.42 and 314.36

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Solution

The fourth proportional to 331.64, 493.42 and 314.36 is: 467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.64 : 493.42 = 314.36 : x
  2. Step 2: Convert to fraction form
    331.64/493.42 = 314.36/x
  3. Step 3: Cross multiply
    331.64x = 493.42 × 314.36
  4. Step 4: Simplify right side
    331.64x = 155,111.51
  5. Step 5: Solve for x
    x = 155,111.51/331.64
  6. Step 6: Final answer
    x = 467.71

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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.