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Finding the Fourth Proportional to 455.86, 628.54 and 381.34

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Solution

The fourth proportional to 455.86, 628.54 and 381.34 is: 525.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.86 : 628.54 = 381.34 : x
  2. Step 2: Convert to fraction form
    455.86/628.54 = 381.34/x
  3. Step 3: Cross multiply
    455.86x = 628.54 × 381.34
  4. Step 4: Simplify right side
    455.86x = 239,687.44
  5. Step 5: Solve for x
    x = 239,687.44/455.86
  6. Step 6: Final answer
    x = 525.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.