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Finding the Fourth Proportional to 533.02, 735.52 and 296.94

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Solution

The fourth proportional to 533.02, 735.52 and 296.94 is: 409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.02 : 735.52 = 296.94 : x
  2. Step 2: Convert to fraction form
    533.02/735.52 = 296.94/x
  3. Step 3: Cross multiply
    533.02x = 735.52 × 296.94
  4. Step 4: Simplify right side
    533.02x = 218,405.31
  5. Step 5: Solve for x
    x = 218,405.31/533.02
  6. Step 6: Final answer
    x = 409.75

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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.