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Finding the Fourth Proportional to 612.28, 916.42 and 449.92

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Solution

The fourth proportional to 612.28, 916.42 and 449.92 is: 673.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.28 : 916.42 = 449.92 : x
  2. Step 2: Convert to fraction form
    612.28/916.42 = 449.92/x
  3. Step 3: Cross multiply
    612.28x = 916.42 × 449.92
  4. Step 4: Simplify right side
    612.28x = 412,315.69
  5. Step 5: Solve for x
    x = 412,315.69/612.28
  6. Step 6: Final answer
    x = 673.41

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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.