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Finding the Fourth Proportional to 467.96, 702.32 and 331.13

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Solution

The fourth proportional to 467.96, 702.32 and 331.13 is: 496.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.96 : 702.32 = 331.13 : x
  2. Step 2: Convert to fraction form
    467.96/702.32 = 331.13/x
  3. Step 3: Cross multiply
    467.96x = 702.32 × 331.13
  4. Step 4: Simplify right side
    467.96x = 232,559.32
  5. Step 5: Solve for x
    x = 232,559.32/467.96
  6. Step 6: Final answer
    x = 496.97

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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.