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Finding the Fourth Proportional to 377.69, 566.81 and 247.65

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Solution

The fourth proportional to 377.69, 566.81 and 247.65 is: 371.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.69 : 566.81 = 247.65 : x
  2. Step 2: Convert to fraction form
    377.69/566.81 = 247.65/x
  3. Step 3: Cross multiply
    377.69x = 566.81 × 247.65
  4. Step 4: Simplify right side
    377.69x = 140,369.26
  5. Step 5: Solve for x
    x = 140,369.26/377.69
  6. Step 6: Final answer
    x = 371.66

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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.