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Finding the Fourth Proportional to 914.44, 1,371.84 and 265.16

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Solution

The fourth proportional to 914.44, 1,371.84 and 265.16 is: 397.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.44 : 1,371.84 = 265.16 : x
  2. Step 2: Convert to fraction form
    914.44/1,371.84 = 265.16/x
  3. Step 3: Cross multiply
    914.44x = 1,371.84 × 265.16
  4. Step 4: Simplify right side
    914.44x = 363,757.09
  5. Step 5: Solve for x
    x = 363,757.09/914.44
  6. Step 6: Final answer
    x = 397.79

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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.