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Finding the Fourth Proportional to 496.76, 685.49 and 275.72

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Solution

The fourth proportional to 496.76, 685.49 and 275.72 is: 380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.76 : 685.49 = 275.72 : x
  2. Step 2: Convert to fraction form
    496.76/685.49 = 275.72/x
  3. Step 3: Cross multiply
    496.76x = 685.49 × 275.72
  4. Step 4: Simplify right side
    496.76x = 188,998.50
  5. Step 5: Solve for x
    x = 188,998.50/496.76
  6. Step 6: Final answer
    x = 380.47

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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.