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Finding the Fourth Proportional to 496.86, 685.61 and 275.75

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Solution

The fourth proportional to 496.86, 685.61 and 275.75 is: 380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.86 : 685.61 = 275.75 : x
  2. Step 2: Convert to fraction form
    496.86/685.61 = 275.75/x
  3. Step 3: Cross multiply
    496.86x = 685.61 × 275.75
  4. Step 4: Simplify right side
    496.86x = 189,056.96
  5. Step 5: Solve for x
    x = 189,056.96/496.86
  6. Step 6: Final answer
    x = 380.50

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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.