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Finding the Fourth Proportional to 498.22, 746.67 and 382.22

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Solution

The fourth proportional to 498.22, 746.67 and 382.22 is: 572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.22 : 746.67 = 382.22 : x
  2. Step 2: Convert to fraction form
    498.22/746.67 = 382.22/x
  3. Step 3: Cross multiply
    498.22x = 746.67 × 382.22
  4. Step 4: Simplify right side
    498.22x = 285,390.56
  5. Step 5: Solve for x
    x = 285,390.56/498.22
  6. Step 6: Final answer
    x = 572.82

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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.