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Finding the Fourth Proportional to 455.68, 683.68 and 199.04

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Solution

The fourth proportional to 455.68, 683.68 and 199.04 is: 298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.68 : 683.68 = 199.04 : x
  2. Step 2: Convert to fraction form
    455.68/683.68 = 199.04/x
  3. Step 3: Cross multiply
    455.68x = 683.68 × 199.04
  4. Step 4: Simplify right side
    455.68x = 136,079.67
  5. Step 5: Solve for x
    x = 136,079.67/455.68
  6. Step 6: Final answer
    x = 298.63

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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.