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Finding the Fourth Proportional to 455.67, 683.91 and 281.79

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Solution

The fourth proportional to 455.67, 683.91 and 281.79 is: 422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.67 : 683.91 = 281.79 : x
  2. Step 2: Convert to fraction form
    455.67/683.91 = 281.79/x
  3. Step 3: Cross multiply
    455.67x = 683.91 × 281.79
  4. Step 4: Simplify right side
    455.67x = 192,719.00
  5. Step 5: Solve for x
    x = 192,719.00/455.67
  6. Step 6: Final answer
    x = 422.94

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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.