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Finding the Fourth Proportional to 651.21, 977.31 and 240.61

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Solution

The fourth proportional to 651.21, 977.31 and 240.61 is: 361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.21 : 977.31 = 240.61 : x
  2. Step 2: Convert to fraction form
    651.21/977.31 = 240.61/x
  3. Step 3: Cross multiply
    651.21x = 977.31 × 240.61
  4. Step 4: Simplify right side
    651.21x = 235,150.56
  5. Step 5: Solve for x
    x = 235,150.56/651.21
  6. Step 6: Final answer
    x = 361.10

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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.