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Finding the Fourth Proportional to 293.69, 405.34 and 285.89

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Solution

The fourth proportional to 293.69, 405.34 and 285.89 is: 394.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.69 : 405.34 = 285.89 : x
  2. Step 2: Convert to fraction form
    293.69/405.34 = 285.89/x
  3. Step 3: Cross multiply
    293.69x = 405.34 × 285.89
  4. Step 4: Simplify right side
    293.69x = 115,879.91
  5. Step 5: Solve for x
    x = 115,879.91/293.69
  6. Step 6: Final answer
    x = 394.56

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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.