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Finding the Fourth Proportional to 331.78, 497.32 and 210.12

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Solution

The fourth proportional to 331.78, 497.32 and 210.12 is: 314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.78 : 497.32 = 210.12 : x
  2. Step 2: Convert to fraction form
    331.78/497.32 = 210.12/x
  3. Step 3: Cross multiply
    331.78x = 497.32 × 210.12
  4. Step 4: Simplify right side
    331.78x = 104,496.88
  5. Step 5: Solve for x
    x = 104,496.88/331.78
  6. Step 6: Final answer
    x = 314.96

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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.