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Finding the Fourth Proportional to 846.08, 1,269.36 and 298.30

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Solution

The fourth proportional to 846.08, 1,269.36 and 298.30 is: 447.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.08 : 1,269.36 = 298.30 : x
  2. Step 2: Convert to fraction form
    846.08/1,269.36 = 298.30/x
  3. Step 3: Cross multiply
    846.08x = 1,269.36 × 298.30
  4. Step 4: Simplify right side
    846.08x = 378,650.09
  5. Step 5: Solve for x
    x = 378,650.09/846.08
  6. Step 6: Final answer
    x = 447.53

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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.