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Finding the Fourth Proportional to 845.53, 1,268.33 and 297.75

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Solution

The fourth proportional to 845.53, 1,268.33 and 297.75 is: 446.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.53 : 1,268.33 = 297.75 : x
  2. Step 2: Convert to fraction form
    845.53/1,268.33 = 297.75/x
  3. Step 3: Cross multiply
    845.53x = 1,268.33 × 297.75
  4. Step 4: Simplify right side
    845.53x = 377,645.26
  5. Step 5: Solve for x
    x = 377,645.26/845.53
  6. Step 6: Final answer
    x = 446.64

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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.