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Finding the Fourth Proportional to 497.92, 746.24 and 208.96

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Solution

The fourth proportional to 497.92, 746.24 and 208.96 is: 313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.92 : 746.24 = 208.96 : x
  2. Step 2: Convert to fraction form
    497.92/746.24 = 208.96/x
  3. Step 3: Cross multiply
    497.92x = 746.24 × 208.96
  4. Step 4: Simplify right side
    497.92x = 155,934.31
  5. Step 5: Solve for x
    x = 155,934.31/497.92
  6. Step 6: Final answer
    x = 313.17

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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.