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Finding the Fourth Proportional to 496.74, 685.34 and 300.22

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Solution

The fourth proportional to 496.74, 685.34 and 300.22 is: 414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.74 : 685.34 = 300.22 : x
  2. Step 2: Convert to fraction form
    496.74/685.34 = 300.22/x
  3. Step 3: Cross multiply
    496.74x = 685.34 × 300.22
  4. Step 4: Simplify right side
    496.74x = 205,752.77
  5. Step 5: Solve for x
    x = 205,752.77/496.74
  6. Step 6: Final answer
    x = 414.21

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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.