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Finding the Fourth Proportional to 455.39, 683.39 and 211.94

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Solution

The fourth proportional to 455.39, 683.39 and 211.94 is: 318.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.39 : 683.39 = 211.94 : x
  2. Step 2: Convert to fraction form
    455.39/683.39 = 211.94/x
  3. Step 3: Cross multiply
    455.39x = 683.39 × 211.94
  4. Step 4: Simplify right side
    455.39x = 144,833.20
  5. Step 5: Solve for x
    x = 144,833.20/455.39
  6. Step 6: Final answer
    x = 318.05

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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.