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Finding the Fourth Proportional to 497.14, 745.84 and 208.78

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Solution

The fourth proportional to 497.14, 745.84 and 208.78 is: 313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.14 : 745.84 = 208.78 : x
  2. Step 2: Convert to fraction form
    497.14/745.84 = 208.78/x
  3. Step 3: Cross multiply
    497.14x = 745.84 × 208.78
  4. Step 4: Simplify right side
    497.14x = 155,716.48
  5. Step 5: Solve for x
    x = 155,716.48/497.14
  6. Step 6: Final answer
    x = 313.22

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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.