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Finding the Fourth Proportional to 497.30, 685.81 and 310.80

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Solution

The fourth proportional to 497.30, 685.81 and 310.80 is: 428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.30 : 685.81 = 310.80 : x
  2. Step 2: Convert to fraction form
    497.30/685.81 = 310.80/x
  3. Step 3: Cross multiply
    497.30x = 685.81 × 310.80
  4. Step 4: Simplify right side
    497.30x = 213,152.71
  5. Step 5: Solve for x
    x = 213,152.71/497.30
  6. Step 6: Final answer
    x = 428.62

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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.