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Finding the Fourth Proportional to 467.83, 702.12 and 331.01

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Solution

The fourth proportional to 467.83, 702.12 and 331.01 is: 496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.83 : 702.12 = 331.01 : x
  2. Step 2: Convert to fraction form
    467.83/702.12 = 331.01/x
  3. Step 3: Cross multiply
    467.83x = 702.12 × 331.01
  4. Step 4: Simplify right side
    467.83x = 232,408.74
  5. Step 5: Solve for x
    x = 232,408.74/467.83
  6. Step 6: Final answer
    x = 496.78

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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.