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Finding the Fourth Proportional to 533.95, 800.65 and 241.20

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Solution

The fourth proportional to 533.95, 800.65 and 241.20 is: 361.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.95 : 800.65 = 241.20 : x
  2. Step 2: Convert to fraction form
    533.95/800.65 = 241.20/x
  3. Step 3: Cross multiply
    533.95x = 800.65 × 241.20
  4. Step 4: Simplify right side
    533.95x = 193,119.08
  5. Step 5: Solve for x
    x = 193,119.08/533.95
  6. Step 6: Final answer
    x = 361.68

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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.