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Finding the Fourth Proportional to 287, 395.70 and 234.48

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Solution

The fourth proportional to 287, 395.70 and 234.48 is: 323.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287 : 395.70 = 234.48 : x
  2. Step 2: Convert to fraction form
    287/395.70 = 234.48/x
  3. Step 3: Cross multiply
    287x = 395.70 × 234.48
  4. Step 4: Simplify right side
    287x = 92,783.74
  5. Step 5: Solve for x
    x = 92,783.74/287
  6. Step 6: Final answer
    x = 323.29

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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.