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Finding the Fourth Proportional to 533.21, 798.44 and 359.60

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Solution

The fourth proportional to 533.21, 798.44 and 359.60 is: 538.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.21 : 798.44 = 359.60 : x
  2. Step 2: Convert to fraction form
    533.21/798.44 = 359.60/x
  3. Step 3: Cross multiply
    533.21x = 798.44 × 359.60
  4. Step 4: Simplify right side
    533.21x = 287,113.23
  5. Step 5: Solve for x
    x = 287,113.23/533.21
  6. Step 6: Final answer
    x = 538.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.