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Finding the Fourth Proportional to 335.46, 463.10 and 252.60

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Solution

The fourth proportional to 335.46, 463.10 and 252.60 is: 348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.46 : 463.10 = 252.60 : x
  2. Step 2: Convert to fraction form
    335.46/463.10 = 252.60/x
  3. Step 3: Cross multiply
    335.46x = 463.10 × 252.60
  4. Step 4: Simplify right side
    335.46x = 116,980.09
  5. Step 5: Solve for x
    x = 116,980.09/335.46
  6. Step 6: Final answer
    x = 348.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.