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Finding the Fourth Proportional to 334.35, 460.86 and 240.96

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Solution

The fourth proportional to 334.35, 460.86 and 240.96 is: 332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.35 : 460.86 = 240.96 : x
  2. Step 2: Convert to fraction form
    334.35/460.86 = 240.96/x
  3. Step 3: Cross multiply
    334.35x = 460.86 × 240.96
  4. Step 4: Simplify right side
    334.35x = 111,049.65
  5. Step 5: Solve for x
    x = 111,049.65/334.35
  6. Step 6: Final answer
    x = 332.14

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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.