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Finding the Fourth Proportional to 533.79, 736.83 and 415.53

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Solution

The fourth proportional to 533.79, 736.83 and 415.53 is: 573.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.79 : 736.83 = 415.53 : x
  2. Step 2: Convert to fraction form
    533.79/736.83 = 415.53/x
  3. Step 3: Cross multiply
    533.79x = 736.83 × 415.53
  4. Step 4: Simplify right side
    533.79x = 306,174.97
  5. Step 5: Solve for x
    x = 306,174.97/533.79
  6. Step 6: Final answer
    x = 573.59

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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.