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Finding the Fourth Proportional to 310.21, 464.87 and 245.37

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Solution

The fourth proportional to 310.21, 464.87 and 245.37 is: 367.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.21 : 464.87 = 245.37 : x
  2. Step 2: Convert to fraction form
    310.21/464.87 = 245.37/x
  3. Step 3: Cross multiply
    310.21x = 464.87 × 245.37
  4. Step 4: Simplify right side
    310.21x = 114,061.60
  5. Step 5: Solve for x
    x = 114,061.60/310.21
  6. Step 6: Final answer
    x = 367.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.