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Finding the Fourth Proportional to 497.76, 746.76 and 209.12

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Solution

The fourth proportional to 497.76, 746.76 and 209.12 is: 313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.76 : 746.76 = 209.12 : x
  2. Step 2: Convert to fraction form
    497.76/746.76 = 209.12/x
  3. Step 3: Cross multiply
    497.76x = 746.76 × 209.12
  4. Step 4: Simplify right side
    497.76x = 156,162.45
  5. Step 5: Solve for x
    x = 156,162.45/497.76
  6. Step 6: Final answer
    x = 313.73

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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.