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Finding the Fourth Proportional to 293.80, 439.44 and 285.94

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Solution

The fourth proportional to 293.80, 439.44 and 285.94 is: 427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.80 : 439.44 = 285.94 : x
  2. Step 2: Convert to fraction form
    293.80/439.44 = 285.94/x
  3. Step 3: Cross multiply
    293.80x = 439.44 × 285.94
  4. Step 4: Simplify right side
    293.80x = 125,653.47
  5. Step 5: Solve for x
    x = 125,653.47/293.80
  6. Step 6: Final answer
    x = 427.68

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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.