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Finding the Fourth Proportional to 496.65, 745.02 and 253.11

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Solution

The fourth proportional to 496.65, 745.02 and 253.11 is: 379.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.65 : 745.02 = 253.11 : x
  2. Step 2: Convert to fraction form
    496.65/745.02 = 253.11/x
  3. Step 3: Cross multiply
    496.65x = 745.02 × 253.11
  4. Step 4: Simplify right side
    496.65x = 188,572.01
  5. Step 5: Solve for x
    x = 188,572.01/496.65
  6. Step 6: Final answer
    x = 379.69

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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.