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Finding the Fourth Proportional to 386.76, 533.09 and 274.59

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Solution

The fourth proportional to 386.76, 533.09 and 274.59 is: 378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.76 : 533.09 = 274.59 : x
  2. Step 2: Convert to fraction form
    386.76/533.09 = 274.59/x
  3. Step 3: Cross multiply
    386.76x = 533.09 × 274.59
  4. Step 4: Simplify right side
    386.76x = 146,378.52
  5. Step 5: Solve for x
    x = 146,378.52/386.76
  6. Step 6: Final answer
    x = 378.47

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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.