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Finding the Fourth Proportional to 846.28, 1,269.44 and 269.16

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Solution

The fourth proportional to 846.28, 1,269.44 and 269.16 is: 403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.28 : 1,269.44 = 269.16 : x
  2. Step 2: Convert to fraction form
    846.28/1,269.44 = 269.16/x
  3. Step 3: Cross multiply
    846.28x = 1,269.44 × 269.16
  4. Step 4: Simplify right side
    846.28x = 341,677.37
  5. Step 5: Solve for x
    x = 341,677.37/846.28
  6. Step 6: Final answer
    x = 403.74

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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.