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Finding the Fourth Proportional to 498.14, 746.94 and 209.52

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Solution

The fourth proportional to 498.14, 746.94 and 209.52 is: 314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.14 : 746.94 = 209.52 : x
  2. Step 2: Convert to fraction form
    498.14/746.94 = 209.52/x
  3. Step 3: Cross multiply
    498.14x = 746.94 × 209.52
  4. Step 4: Simplify right side
    498.14x = 156,498.87
  5. Step 5: Solve for x
    x = 156,498.87/498.14
  6. Step 6: Final answer
    x = 314.17

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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.