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Finding the Fourth Proportional to 651.75, 977.63 and 240.67

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Solution

The fourth proportional to 651.75, 977.63 and 240.67 is: 361.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.75 : 977.63 = 240.67 : x
  2. Step 2: Convert to fraction form
    651.75/977.63 = 240.67/x
  3. Step 3: Cross multiply
    651.75x = 977.63 × 240.67
  4. Step 4: Simplify right side
    651.75x = 235,286.21
  5. Step 5: Solve for x
    x = 235,286.21/651.75
  6. Step 6: Final answer
    x = 361.01

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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.