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Finding the Fourth Proportional to 279.36, 419.04 and 265.14

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Solution

The fourth proportional to 279.36, 419.04 and 265.14 is: 397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.36 : 419.04 = 265.14 : x
  2. Step 2: Convert to fraction form
    279.36/419.04 = 265.14/x
  3. Step 3: Cross multiply
    279.36x = 419.04 × 265.14
  4. Step 4: Simplify right side
    279.36x = 111,104.27
  5. Step 5: Solve for x
    x = 111,104.27/279.36
  6. Step 6: Final answer
    x = 397.71

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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.