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Finding the Fourth Proportional to 331.93, 498.17 and 293.50

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Solution

The fourth proportional to 331.93, 498.17 and 293.50 is: 440.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.93 : 498.17 = 293.50 : x
  2. Step 2: Convert to fraction form
    331.93/498.17 = 293.50/x
  3. Step 3: Cross multiply
    331.93x = 498.17 × 293.50
  4. Step 4: Simplify right side
    331.93x = 146,212.90
  5. Step 5: Solve for x
    x = 146,212.90/331.93
  6. Step 6: Final answer
    x = 440.49

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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.