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Finding the Fourth Proportional to 497.70, 746.92 and 209.34

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Solution

The fourth proportional to 497.70, 746.92 and 209.34 is: 314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.70 : 746.92 = 209.34 : x
  2. Step 2: Convert to fraction form
    497.70/746.92 = 209.34/x
  3. Step 3: Cross multiply
    497.70x = 746.92 × 209.34
  4. Step 4: Simplify right side
    497.70x = 156,360.23
  5. Step 5: Solve for x
    x = 156,360.23/497.70
  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.