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Finding the Fourth Proportional to 455.77, 683.84 and 195.83

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Solution

The fourth proportional to 455.77, 683.84 and 195.83 is: 293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.77 : 683.84 = 195.83 : x
  2. Step 2: Convert to fraction form
    455.77/683.84 = 195.83/x
  3. Step 3: Cross multiply
    455.77x = 683.84 × 195.83
  4. Step 4: Simplify right side
    455.77x = 133,913.46
  5. Step 5: Solve for x
    x = 133,913.46/455.77
  6. Step 6: Final answer
    x = 293.82

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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.