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Finding the Fourth Proportional to 533.72, 800.82 and 404.36

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Solution

The fourth proportional to 533.72, 800.82 and 404.36 is: 606.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.72 : 800.82 = 404.36 : x
  2. Step 2: Convert to fraction form
    533.72/800.82 = 404.36/x
  3. Step 3: Cross multiply
    533.72x = 800.82 × 404.36
  4. Step 4: Simplify right side
    533.72x = 323,819.58
  5. Step 5: Solve for x
    x = 323,819.58/533.72
  6. Step 6: Final answer
    x = 606.72

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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.