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Finding the Fourth Proportional to 455.96, 684.02 and 199.48

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Solution

The fourth proportional to 455.96, 684.02 and 199.48 is: 299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.96 : 684.02 = 199.48 : x
  2. Step 2: Convert to fraction form
    455.96/684.02 = 199.48/x
  3. Step 3: Cross multiply
    455.96x = 684.02 × 199.48
  4. Step 4: Simplify right side
    455.96x = 136,448.31
  5. Step 5: Solve for x
    x = 136,448.31/455.96
  6. Step 6: Final answer
    x = 299.25

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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.