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Finding the Fourth Proportional to 846.15, 1,269.32 and 298.41

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Solution

The fourth proportional to 846.15, 1,269.32 and 298.41 is: 447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.15 : 1,269.32 = 298.41 : x
  2. Step 2: Convert to fraction form
    846.15/1,269.32 = 298.41/x
  3. Step 3: Cross multiply
    846.15x = 1,269.32 × 298.41
  4. Step 4: Simplify right side
    846.15x = 378,776.29
  5. Step 5: Solve for x
    x = 378,776.29/846.15
  6. Step 6: Final answer
    x = 447.65

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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.