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Finding the Fourth Proportional to 533.95, 800.80 and 245.11

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Solution

The fourth proportional to 533.95, 800.80 and 245.11 is: 367.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.95 : 800.80 = 245.11 : x
  2. Step 2: Convert to fraction form
    533.95/800.80 = 245.11/x
  3. Step 3: Cross multiply
    533.95x = 800.80 × 245.11
  4. Step 4: Simplify right side
    533.95x = 196,284.09
  5. Step 5: Solve for x
    x = 196,284.09/533.95
  6. Step 6: Final answer
    x = 367.61

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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.