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Finding the Fourth Proportional to 533.32, 799.84 and 204.19

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Solution

The fourth proportional to 533.32, 799.84 and 204.19 is: 306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.32 : 799.84 = 204.19 : x
  2. Step 2: Convert to fraction form
    533.32/799.84 = 204.19/x
  3. Step 3: Cross multiply
    533.32x = 799.84 × 204.19
  4. Step 4: Simplify right side
    533.32x = 163,319.33
  5. Step 5: Solve for x
    x = 163,319.33/533.32
  6. Step 6: Final answer
    x = 306.23

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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.