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Finding the Fourth Proportional to 331.93, 497.08 and 210.43

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Solution

The fourth proportional to 331.93, 497.08 and 210.43 is: 315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.93 : 497.08 = 210.43 : x
  2. Step 2: Convert to fraction form
    331.93/497.08 = 210.43/x
  3. Step 3: Cross multiply
    331.93x = 497.08 × 210.43
  4. Step 4: Simplify right side
    331.93x = 104,600.54
  5. Step 5: Solve for x
    x = 104,600.54/331.93
  6. Step 6: Final answer
    x = 315.13

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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.