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Finding the Fourth Proportional to 846.38, 1,269.57 and 298.65

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Solution

The fourth proportional to 846.38, 1,269.57 and 298.65 is: 447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.38 : 1,269.57 = 298.65 : x
  2. Step 2: Convert to fraction form
    846.38/1,269.57 = 298.65/x
  3. Step 3: Cross multiply
    846.38x = 1,269.57 × 298.65
  4. Step 4: Simplify right side
    846.38x = 379,157.08
  5. Step 5: Solve for x
    x = 379,157.08/846.38
  6. Step 6: Final answer
    x = 447.98

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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.