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Finding the Fourth Proportional to 455.94, 684.09 and 448.65

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Solution

The fourth proportional to 455.94, 684.09 and 448.65 is: 673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.94 : 684.09 = 448.65 : x
  2. Step 2: Convert to fraction form
    455.94/684.09 = 448.65/x
  3. Step 3: Cross multiply
    455.94x = 684.09 × 448.65
  4. Step 4: Simplify right side
    455.94x = 306,916.98
  5. Step 5: Solve for x
    x = 306,916.98/455.94
  6. Step 6: Final answer
    x = 673.15

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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.