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Finding the Fourth Proportional to 498.20, 746.40 and 382.84

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Solution

The fourth proportional to 498.20, 746.40 and 382.84 is: 573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.20 : 746.40 = 382.84 : x
  2. Step 2: Convert to fraction form
    498.20/746.40 = 382.84/x
  3. Step 3: Cross multiply
    498.20x = 746.40 × 382.84
  4. Step 4: Simplify right side
    498.20x = 285,751.78
  5. Step 5: Solve for x
    x = 285,751.78/498.20
  6. Step 6: Final answer
    x = 573.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.