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Finding the Fourth Proportional to 533.44, 799.32 and 302.04

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Solution

The fourth proportional to 533.44, 799.32 and 302.04 is: 452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.44 : 799.32 = 302.04 : x
  2. Step 2: Convert to fraction form
    533.44/799.32 = 302.04/x
  3. Step 3: Cross multiply
    533.44x = 799.32 × 302.04
  4. Step 4: Simplify right side
    533.44x = 241,426.61
  5. Step 5: Solve for x
    x = 241,426.61/533.44
  6. Step 6: Final answer
    x = 452.58

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Why These Related Problems?

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