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Finding the Fourth Proportional to 328.16, 490.62 and 246.62

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Solution

The fourth proportional to 328.16, 490.62 and 246.62 is: 368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.16 : 490.62 = 246.62 : x
  2. Step 2: Convert to fraction form
    328.16/490.62 = 246.62/x
  3. Step 3: Cross multiply
    328.16x = 490.62 × 246.62
  4. Step 4: Simplify right side
    328.16x = 120,996.70
  5. Step 5: Solve for x
    x = 120,996.70/328.16
  6. Step 6: Final answer
    x = 368.71

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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.