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Finding the Fourth Proportional to 497.90, 746.87 and 209.36

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Solution

The fourth proportional to 497.90, 746.87 and 209.36 is: 314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.90 : 746.87 = 209.36 : x
  2. Step 2: Convert to fraction form
    497.90/746.87 = 209.36/x
  3. Step 3: Cross multiply
    497.90x = 746.87 × 209.36
  4. Step 4: Simplify right side
    497.90x = 156,359.92
  5. Step 5: Solve for x
    x = 156,359.92/497.90
  6. Step 6: Final answer
    x = 314.04

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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.