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Finding the Fourth Proportional to 377.38, 566.07 and 281.26

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Solution

The fourth proportional to 377.38, 566.07 and 281.26 is: 421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.38 : 566.07 = 281.26 : x
  2. Step 2: Convert to fraction form
    377.38/566.07 = 281.26/x
  3. Step 3: Cross multiply
    377.38x = 566.07 × 281.26
  4. Step 4: Simplify right side
    377.38x = 159,212.85
  5. Step 5: Solve for x
    x = 159,212.85/377.38
  6. Step 6: Final answer
    x = 421.89

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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.