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Finding the Fourth Proportional to 533.89, 801.01 and 241.59

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Solution

The fourth proportional to 533.89, 801.01 and 241.59 is: 362.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.89 : 801.01 = 241.59 : x
  2. Step 2: Convert to fraction form
    533.89/801.01 = 241.59/x
  3. Step 3: Cross multiply
    533.89x = 801.01 × 241.59
  4. Step 4: Simplify right side
    533.89x = 193,516.01
  5. Step 5: Solve for x
    x = 193,516.01/533.89
  6. Step 6: Final answer
    x = 362.46

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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.