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Finding the Fourth Proportional to 846.24, 1,269.40 and 298.43

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Solution

The fourth proportional to 846.24, 1,269.40 and 298.43 is: 447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.24 : 1,269.40 = 298.43 : x
  2. Step 2: Convert to fraction form
    846.24/1,269.40 = 298.43/x
  3. Step 3: Cross multiply
    846.24x = 1,269.40 × 298.43
  4. Step 4: Simplify right side
    846.24x = 378,829.75
  5. Step 5: Solve for x
    x = 378,829.75/846.24
  6. Step 6: Final answer
    x = 447.66

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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.