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Finding the Fourth Proportional to 684.28, 1,026.42 and 299.56

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Solution

The fourth proportional to 684.28, 1,026.42 and 299.56 is: 449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.28 : 1,026.42 = 299.56 : x
  2. Step 2: Convert to fraction form
    684.28/1,026.42 = 299.56/x
  3. Step 3: Cross multiply
    684.28x = 1,026.42 × 299.56
  4. Step 4: Simplify right side
    684.28x = 307,474.38
  5. Step 5: Solve for x
    x = 307,474.38/684.28
  6. Step 6: Final answer
    x = 449.34

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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.