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Finding the Fourth Proportional to 533.40, 799.94 and 208.86

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Solution

The fourth proportional to 533.40, 799.94 and 208.86 is: 313.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.40 : 799.94 = 208.86 : x
  2. Step 2: Convert to fraction form
    533.40/799.94 = 208.86/x
  3. Step 3: Cross multiply
    533.40x = 799.94 × 208.86
  4. Step 4: Simplify right side
    533.40x = 167,075.47
  5. Step 5: Solve for x
    x = 167,075.47/533.40
  6. Step 6: Final answer
    x = 313.23

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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.