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Finding the Fourth Proportional to 496.72, 685.56 and 310.15

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Solution

The fourth proportional to 496.72, 685.56 and 310.15 is: 428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.72 : 685.56 = 310.15 : x
  2. Step 2: Convert to fraction form
    496.72/685.56 = 310.15/x
  3. Step 3: Cross multiply
    496.72x = 685.56 × 310.15
  4. Step 4: Simplify right side
    496.72x = 212,626.43
  5. Step 5: Solve for x
    x = 212,626.43/496.72
  6. Step 6: Final answer
    x = 428.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.