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Finding the Fourth Proportional to 395.75, 546.34 and 285.49

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Solution

The fourth proportional to 395.75, 546.34 and 285.49 is: 394.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.75 : 546.34 = 285.49 : x
  2. Step 2: Convert to fraction form
    395.75/546.34 = 285.49/x
  3. Step 3: Cross multiply
    395.75x = 546.34 × 285.49
  4. Step 4: Simplify right side
    395.75x = 155,972.53
  5. Step 5: Solve for x
    x = 155,972.53/395.75
  6. Step 6: Final answer
    x = 394.12

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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.