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Finding the Fourth Proportional to 533.94, 736.71 and 312.78

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Solution

The fourth proportional to 533.94, 736.71 and 312.78 is: 431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.94 : 736.71 = 312.78 : x
  2. Step 2: Convert to fraction form
    533.94/736.71 = 312.78/x
  3. Step 3: Cross multiply
    533.94x = 736.71 × 312.78
  4. Step 4: Simplify right side
    533.94x = 230,428.15
  5. Step 5: Solve for x
    x = 230,428.15/533.94
  6. Step 6: Final answer
    x = 431.56

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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.