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Finding the Fourth Proportional to 893.09, 1,339.20 and 276.48

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Solution

The fourth proportional to 893.09, 1,339.20 and 276.48 is: 414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.09 : 1,339.20 = 276.48 : x
  2. Step 2: Convert to fraction form
    893.09/1,339.20 = 276.48/x
  3. Step 3: Cross multiply
    893.09x = 1,339.20 × 276.48
  4. Step 4: Simplify right side
    893.09x = 370,262.02
  5. Step 5: Solve for x
    x = 370,262.02/893.09
  6. Step 6: Final answer
    x = 414.58

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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.