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Finding the Fourth Proportional to 845.47, 1,268.20 and 297.52

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Solution

The fourth proportional to 845.47, 1,268.20 and 297.52 is: 446.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.47 : 1,268.20 = 297.52 : x
  2. Step 2: Convert to fraction form
    845.47/1,268.20 = 297.52/x
  3. Step 3: Cross multiply
    845.47x = 1,268.20 × 297.52
  4. Step 4: Simplify right side
    845.47x = 377,314.86
  5. Step 5: Solve for x
    x = 377,314.86/845.47
  6. Step 6: Final answer
    x = 446.28

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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.