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Finding the Fourth Proportional to 497.32, 685.87 and 310.62

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Solution

The fourth proportional to 497.32, 685.87 and 310.62 is: 428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.32 : 685.87 = 310.62 : x
  2. Step 2: Convert to fraction form
    497.32/685.87 = 310.62/x
  3. Step 3: Cross multiply
    497.32x = 685.87 × 310.62
  4. Step 4: Simplify right side
    497.32x = 213,044.94
  5. Step 5: Solve for x
    x = 213,044.94/497.32
  6. Step 6: Final answer
    x = 428.39

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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.