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Finding the Fourth Proportional to 349.76, 523.98 and 310.12

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Solution

The fourth proportional to 349.76, 523.98 and 310.12 is: 464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.76 : 523.98 = 310.12 : x
  2. Step 2: Convert to fraction form
    349.76/523.98 = 310.12/x
  3. Step 3: Cross multiply
    349.76x = 523.98 × 310.12
  4. Step 4: Simplify right side
    349.76x = 162,496.68
  5. Step 5: Solve for x
    x = 162,496.68/349.76
  6. Step 6: Final answer
    x = 464.59

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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.