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Finding the Fourth Proportional to 496.35, 685.10 and 297.25

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Solution

The fourth proportional to 496.35, 685.10 and 297.25 is: 410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.35 : 685.10 = 297.25 : x
  2. Step 2: Convert to fraction form
    496.35/685.10 = 297.25/x
  3. Step 3: Cross multiply
    496.35x = 685.10 × 297.25
  4. Step 4: Simplify right side
    496.35x = 203,645.98
  5. Step 5: Solve for x
    x = 203,645.98/496.35
  6. Step 6: Final answer
    x = 410.29

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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.