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Finding the Fourth Proportional to 496.76, 685.80 and 380.52

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Solution

The fourth proportional to 496.76, 685.80 and 380.52 is: 525.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.76 : 685.80 = 380.52 : x
  2. Step 2: Convert to fraction form
    496.76/685.80 = 380.52/x
  3. Step 3: Cross multiply
    496.76x = 685.80 × 380.52
  4. Step 4: Simplify right side
    496.76x = 260,960.62
  5. Step 5: Solve for x
    x = 260,960.62/496.76
  6. Step 6: Final answer
    x = 525.33

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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.