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Finding the Fourth Proportional to 377.69, 565.58 and 232.97

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Solution

The fourth proportional to 377.69, 565.58 and 232.97 is: 348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.69 : 565.58 = 232.97 : x
  2. Step 2: Convert to fraction form
    377.69/565.58 = 232.97/x
  3. Step 3: Cross multiply
    377.69x = 565.58 × 232.97
  4. Step 4: Simplify right side
    377.69x = 131,762.01
  5. Step 5: Solve for x
    x = 131,762.01/377.69
  6. Step 6: Final answer
    x = 348.86

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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.