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Finding the Fourth Proportional to 845.24, 1,268.01 and 297.74

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Solution

The fourth proportional to 845.24, 1,268.01 and 297.74 is: 446.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.24 : 1,268.01 = 297.74 : x
  2. Step 2: Convert to fraction form
    845.24/1,268.01 = 297.74/x
  3. Step 3: Cross multiply
    845.24x = 1,268.01 × 297.74
  4. Step 4: Simplify right side
    845.24x = 377,537.30
  5. Step 5: Solve for x
    x = 377,537.30/845.24
  6. Step 6: Final answer
    x = 446.66

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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.