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Finding the Fourth Proportional to 497.92, 746.88 and 209.60

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Solution

The fourth proportional to 497.92, 746.88 and 209.60 is: 314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.92 : 746.88 = 209.60 : x
  2. Step 2: Convert to fraction form
    497.92/746.88 = 209.60/x
  3. Step 3: Cross multiply
    497.92x = 746.88 × 209.60
  4. Step 4: Simplify right side
    497.92x = 156,546.05
  5. Step 5: Solve for x
    x = 156,546.05/497.92
  6. Step 6: Final answer
    x = 314.40

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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.