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Finding the Fourth Proportional to 312.94, 468.96 and 244.13

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Solution

The fourth proportional to 312.94, 468.96 and 244.13 is: 365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.94 : 468.96 = 244.13 : x
  2. Step 2: Convert to fraction form
    312.94/468.96 = 244.13/x
  3. Step 3: Cross multiply
    312.94x = 468.96 × 244.13
  4. Step 4: Simplify right side
    312.94x = 114,483.94
  5. Step 5: Solve for x
    x = 114,483.94/312.94
  6. Step 6: Final answer
    x = 365.83

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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.