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Finding the Fourth Proportional to 498.02, 746.60 and 209.66

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Solution

The fourth proportional to 498.02, 746.60 and 209.66 is: 314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.02 : 746.60 = 209.66 : x
  2. Step 2: Convert to fraction form
    498.02/746.60 = 209.66/x
  3. Step 3: Cross multiply
    498.02x = 746.60 × 209.66
  4. Step 4: Simplify right side
    498.02x = 156,527.37
  5. Step 5: Solve for x
    x = 156,527.37/498.02
  6. Step 6: Final answer
    x = 314.30

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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.