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Finding the Fourth Proportional to 386.69, 533.41 and 281.64

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Solution

The fourth proportional to 386.69, 533.41 and 281.64 is: 388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.69 : 533.41 = 281.64 : x
  2. Step 2: Convert to fraction form
    386.69/533.41 = 281.64/x
  3. Step 3: Cross multiply
    386.69x = 533.41 × 281.64
  4. Step 4: Simplify right side
    386.69x = 150,228.89
  5. Step 5: Solve for x
    x = 150,228.89/386.69
  6. Step 6: Final answer
    x = 388.50

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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.