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Finding the Fourth Proportional to 533.75, 736.56 and 312.71

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Solution

The fourth proportional to 533.75, 736.56 and 312.71 is: 431.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.75 : 736.56 = 312.71 : x
  2. Step 2: Convert to fraction form
    533.75/736.56 = 312.71/x
  3. Step 3: Cross multiply
    533.75x = 736.56 × 312.71
  4. Step 4: Simplify right side
    533.75x = 230,325.99
  5. Step 5: Solve for x
    x = 230,325.99/533.75
  6. Step 6: Final answer
    x = 431.53

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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.