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Finding the Fourth Proportional to 498.14, 746.76 and 209.42

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Solution

The fourth proportional to 498.14, 746.76 and 209.42 is: 313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.14 : 746.76 = 209.42 : x
  2. Step 2: Convert to fraction form
    498.14/746.76 = 209.42/x
  3. Step 3: Cross multiply
    498.14x = 746.76 × 209.42
  4. Step 4: Simplify right side
    498.14x = 156,386.48
  5. Step 5: Solve for x
    x = 156,386.48/498.14
  6. Step 6: Final answer
    x = 313.94

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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.