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Finding the Fourth Proportional to 651.87, 977.49 and 281.61

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Solution

The fourth proportional to 651.87, 977.49 and 281.61 is: 422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.87 : 977.49 = 281.61 : x
  2. Step 2: Convert to fraction form
    651.87/977.49 = 281.61/x
  3. Step 3: Cross multiply
    651.87x = 977.49 × 281.61
  4. Step 4: Simplify right side
    651.87x = 275,270.96
  5. Step 5: Solve for x
    x = 275,270.96/651.87
  6. Step 6: Final answer
    x = 422.28

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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.