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Finding the Fourth Proportional to 533.99, 736.78 and 312.90

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Solution

The fourth proportional to 533.99, 736.78 and 312.90 is: 431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.99 : 736.78 = 312.90 : x
  2. Step 2: Convert to fraction form
    533.99/736.78 = 312.90/x
  3. Step 3: Cross multiply
    533.99x = 736.78 × 312.90
  4. Step 4: Simplify right side
    533.99x = 230,538.46
  5. Step 5: Solve for x
    x = 230,538.46/533.99
  6. Step 6: Final answer
    x = 431.73

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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.