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Finding the Fourth Proportional to 497.14, 745.72 and 208.24

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Solution

The fourth proportional to 497.14, 745.72 and 208.24 is: 312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.14 : 745.72 = 208.24 : x
  2. Step 2: Convert to fraction form
    497.14/745.72 = 208.24/x
  3. Step 3: Cross multiply
    497.14x = 745.72 × 208.24
  4. Step 4: Simplify right side
    497.14x = 155,288.73
  5. Step 5: Solve for x
    x = 155,288.73/497.14
  6. Step 6: Final answer
    x = 312.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.