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Finding the Fourth Proportional to 533.99, 800.97 and 204.85

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Solution

The fourth proportional to 533.99, 800.97 and 204.85 is: 307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.99 : 800.97 = 204.85 : x
  2. Step 2: Convert to fraction form
    533.99/800.97 = 204.85/x
  3. Step 3: Cross multiply
    533.99x = 800.97 × 204.85
  4. Step 4: Simplify right side
    533.99x = 164,075.58
  5. Step 5: Solve for x
    x = 164,075.58/533.99
  6. Step 6: Final answer
    x = 307.26

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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.