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Finding the Fourth Proportional to 612.36, 917.73 and 449.28

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Solution

The fourth proportional to 612.36, 917.73 and 449.28 is: 673.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.36 : 917.73 = 449.28 : x
  2. Step 2: Convert to fraction form
    612.36/917.73 = 449.28/x
  3. Step 3: Cross multiply
    612.36x = 917.73 × 449.28
  4. Step 4: Simplify right side
    612.36x = 412,317.73
  5. Step 5: Solve for x
    x = 412,317.73/612.36
  6. Step 6: Final answer
    x = 673.33

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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.