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Finding the Fourth Proportional to 533.42, 736.80 and 408.32

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Solution

The fourth proportional to 533.42, 736.80 and 408.32 is: 564.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.42 : 736.80 = 408.32 : x
  2. Step 2: Convert to fraction form
    533.42/736.80 = 408.32/x
  3. Step 3: Cross multiply
    533.42x = 736.80 × 408.32
  4. Step 4: Simplify right side
    533.42x = 300,850.18
  5. Step 5: Solve for x
    x = 300,850.18/533.42
  6. Step 6: Final answer
    x = 564.00

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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.