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Finding the Fourth Proportional to 331.93, 496.98 and 228.65

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Solution

The fourth proportional to 331.93, 496.98 and 228.65 is: 342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.93 : 496.98 = 228.65 : x
  2. Step 2: Convert to fraction form
    331.93/496.98 = 228.65/x
  3. Step 3: Cross multiply
    331.93x = 496.98 × 228.65
  4. Step 4: Simplify right side
    331.93x = 113,633.33
  5. Step 5: Solve for x
    x = 113,633.33/331.93
  6. Step 6: Final answer
    x = 342.35

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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.