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Finding the Fourth Proportional to 905.68, 1,357.74 and 418.48

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Solution

The fourth proportional to 905.68, 1,357.74 and 418.48 is: 627.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.68 : 1,357.74 = 418.48 : x
  2. Step 2: Convert to fraction form
    905.68/1,357.74 = 418.48/x
  3. Step 3: Cross multiply
    905.68x = 1,357.74 × 418.48
  4. Step 4: Simplify right side
    905.68x = 568,187.04
  5. Step 5: Solve for x
    x = 568,187.04/905.68
  6. Step 6: Final answer
    x = 627.36

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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.