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Finding the Fourth Proportional to 496.88, 685.60 and 297.72

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Solution

The fourth proportional to 496.88, 685.60 and 297.72 is: 410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.88 : 685.60 = 297.72 : x
  2. Step 2: Convert to fraction form
    496.88/685.60 = 297.72/x
  3. Step 3: Cross multiply
    496.88x = 685.60 × 297.72
  4. Step 4: Simplify right side
    496.88x = 204,116.83
  5. Step 5: Solve for x
    x = 204,116.83/496.88
  6. Step 6: Final answer
    x = 410.80

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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.