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Finding the Fourth Proportional to 279, 416.37 and 244.38

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Solution

The fourth proportional to 279, 416.37 and 244.38 is: 364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    279 : 416.37 = 244.38 : x
  2. Step 2: Convert to fraction form
    279/416.37 = 244.38/x
  3. Step 3: Cross multiply
    279x = 416.37 × 244.38
  4. Step 4: Simplify right side
    279x = 101,752.50
  5. Step 5: Solve for x
    x = 101,752.50/279
  6. Step 6: Final answer
    x = 364.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.