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Finding the Fourth Proportional to 331.94, 500.35 and 304.21

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Solution

The fourth proportional to 331.94, 500.35 and 304.21 is: 458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.94 : 500.35 = 304.21 : x
  2. Step 2: Convert to fraction form
    331.94/500.35 = 304.21/x
  3. Step 3: Cross multiply
    331.94x = 500.35 × 304.21
  4. Step 4: Simplify right side
    331.94x = 152,208.97
  5. Step 5: Solve for x
    x = 152,208.97/331.94
  6. Step 6: Final answer
    x = 458.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.