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Finding the Fourth Proportional to 533.06, 735.38 and 385.37

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Solution

The fourth proportional to 533.06, 735.38 and 385.37 is: 531.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.06 : 735.38 = 385.37 : x
  2. Step 2: Convert to fraction form
    533.06/735.38 = 385.37/x
  3. Step 3: Cross multiply
    533.06x = 735.38 × 385.37
  4. Step 4: Simplify right side
    533.06x = 283,387.79
  5. Step 5: Solve for x
    x = 283,387.79/533.06
  6. Step 6: Final answer
    x = 531.63

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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.