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Finding the Fourth Proportional to 497.07, 685.78 and 310.41

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Solution

The fourth proportional to 497.07, 685.78 and 310.41 is: 428.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.07 : 685.78 = 310.41 : x
  2. Step 2: Convert to fraction form
    497.07/685.78 = 310.41/x
  3. Step 3: Cross multiply
    497.07x = 685.78 × 310.41
  4. Step 4: Simplify right side
    497.07x = 212,872.97
  5. Step 5: Solve for x
    x = 212,872.97/497.07
  6. Step 6: Final answer
    x = 428.26

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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.