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Finding the Fourth Proportional to 455.48, 683.13 and 378.94

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Solution

The fourth proportional to 455.48, 683.13 and 378.94 is: 568.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.48 : 683.13 = 378.94 : x
  2. Step 2: Convert to fraction form
    455.48/683.13 = 378.94/x
  3. Step 3: Cross multiply
    455.48x = 683.13 × 378.94
  4. Step 4: Simplify right side
    455.48x = 258,861.87
  5. Step 5: Solve for x
    x = 258,861.87/455.48
  6. Step 6: Final answer
    x = 568.33

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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.