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Finding the Fourth Proportional to 533.69, 736.37 and 312.56

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Solution

The fourth proportional to 533.69, 736.37 and 312.56 is: 431.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.69 : 736.37 = 312.56 : x
  2. Step 2: Convert to fraction form
    533.69/736.37 = 312.56/x
  3. Step 3: Cross multiply
    533.69x = 736.37 × 312.56
  4. Step 4: Simplify right side
    533.69x = 230,157.62
  5. Step 5: Solve for x
    x = 230,157.62/533.69
  6. Step 6: Final answer
    x = 431.26

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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.