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Finding the Fourth Proportional to 455.86, 629.05 and 259.33

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Solution

The fourth proportional to 455.86, 629.05 and 259.33 is: 357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.86 : 629.05 = 259.33 : x
  2. Step 2: Convert to fraction form
    455.86/629.05 = 259.33/x
  3. Step 3: Cross multiply
    455.86x = 629.05 × 259.33
  4. Step 4: Simplify right side
    455.86x = 163,131.54
  5. Step 5: Solve for x
    x = 163,131.54/455.86
  6. Step 6: Final answer
    x = 357.85

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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.