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Finding the Fourth Proportional to 329.14, 492.64 and 247.12

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Solution

The fourth proportional to 329.14, 492.64 and 247.12 is: 369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.14 : 492.64 = 247.12 : x
  2. Step 2: Convert to fraction form
    329.14/492.64 = 247.12/x
  3. Step 3: Cross multiply
    329.14x = 492.64 × 247.12
  4. Step 4: Simplify right side
    329.14x = 121,741.20
  5. Step 5: Solve for x
    x = 121,741.20/329.14
  6. Step 6: Final answer
    x = 369.88

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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.