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Finding the Fourth Proportional to 497.71, 746.75 and 208.99

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Solution

The fourth proportional to 497.71, 746.75 and 208.99 is: 313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.71 : 746.75 = 208.99 : x
  2. Step 2: Convert to fraction form
    497.71/746.75 = 208.99/x
  3. Step 3: Cross multiply
    497.71x = 746.75 × 208.99
  4. Step 4: Simplify right side
    497.71x = 156,063.28
  5. Step 5: Solve for x
    x = 156,063.28/497.71
  6. Step 6: Final answer
    x = 313.56

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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.