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Finding the Fourth Proportional to 533.55, 799.74 and 289.74

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Solution

The fourth proportional to 533.55, 799.74 and 289.74 is: 434.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.55 : 799.74 = 289.74 : x
  2. Step 2: Convert to fraction form
    533.55/799.74 = 289.74/x
  3. Step 3: Cross multiply
    533.55x = 799.74 × 289.74
  4. Step 4: Simplify right side
    533.55x = 231,716.67
  5. Step 5: Solve for x
    x = 231,716.67/533.55
  6. Step 6: Final answer
    x = 434.29

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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.