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Finding the Fourth Proportional to 285.73, 394.77 and 241.99

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Solution

The fourth proportional to 285.73, 394.77 and 241.99 is: 334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.73 : 394.77 = 241.99 : x
  2. Step 2: Convert to fraction form
    285.73/394.77 = 241.99/x
  3. Step 3: Cross multiply
    285.73x = 394.77 × 241.99
  4. Step 4: Simplify right side
    285.73x = 95,530.31
  5. Step 5: Solve for x
    x = 95,530.31/285.73
  6. Step 6: Final answer
    x = 334.34

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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.