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Finding the Fourth Proportional to 533.99, 799.77 and 338.98

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Solution

The fourth proportional to 533.99, 799.77 and 338.98 is: 507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.99 : 799.77 = 338.98 : x
  2. Step 2: Convert to fraction form
    533.99/799.77 = 338.98/x
  3. Step 3: Cross multiply
    533.99x = 799.77 × 338.98
  4. Step 4: Simplify right side
    533.99x = 271,106.03
  5. Step 5: Solve for x
    x = 271,106.03/533.99
  6. Step 6: Final answer
    x = 507.70

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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.