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Finding the Fourth Proportional to 914.43, 1,371.75 and 265.14

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Solution

The fourth proportional to 914.43, 1,371.75 and 265.14 is: 397.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.43 : 1,371.75 = 265.14 : x
  2. Step 2: Convert to fraction form
    914.43/1,371.75 = 265.14/x
  3. Step 3: Cross multiply
    914.43x = 1,371.75 × 265.14
  4. Step 4: Simplify right side
    914.43x = 363,705.80
  5. Step 5: Solve for x
    x = 363,705.80/914.43
  6. Step 6: Final answer
    x = 397.74

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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.