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Finding the Fourth Proportional to 533.50, 736.37 and 356.79

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Solution

The fourth proportional to 533.50, 736.37 and 356.79 is: 492.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.50 : 736.37 = 356.79 : x
  2. Step 2: Convert to fraction form
    533.50/736.37 = 356.79/x
  3. Step 3: Cross multiply
    533.50x = 736.37 × 356.79
  4. Step 4: Simplify right side
    533.50x = 262,729.45
  5. Step 5: Solve for x
    x = 262,729.45/533.50
  6. Step 6: Final answer
    x = 492.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.