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Finding the Fourth Proportional to 310.23, 464.94 and 262.44

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Solution

The fourth proportional to 310.23, 464.94 and 262.44 is: 393.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.23 : 464.94 = 262.44 : x
  2. Step 2: Convert to fraction form
    310.23/464.94 = 262.44/x
  3. Step 3: Cross multiply
    310.23x = 464.94 × 262.44
  4. Step 4: Simplify right side
    310.23x = 122,018.85
  5. Step 5: Solve for x
    x = 122,018.85/310.23
  6. Step 6: Final answer
    x = 393.32

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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.