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Finding the Fourth Proportional to 498.31, 746.81 and 205.48

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Solution

The fourth proportional to 498.31, 746.81 and 205.48 is: 307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.31 : 746.81 = 205.48 : x
  2. Step 2: Convert to fraction form
    498.31/746.81 = 205.48/x
  3. Step 3: Cross multiply
    498.31x = 746.81 × 205.48
  4. Step 4: Simplify right side
    498.31x = 153,450.78
  5. Step 5: Solve for x
    x = 153,450.78/498.31
  6. Step 6: Final answer
    x = 307.95

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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.