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Finding the Fourth Proportional to 533.25, 797.74 and 334.91

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Solution

The fourth proportional to 533.25, 797.74 and 334.91 is: 501.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.25 : 797.74 = 334.91 : x
  2. Step 2: Convert to fraction form
    533.25/797.74 = 334.91/x
  3. Step 3: Cross multiply
    533.25x = 797.74 × 334.91
  4. Step 4: Simplify right side
    533.25x = 267,172.26
  5. Step 5: Solve for x
    x = 267,172.26/533.25
  6. Step 6: Final answer
    x = 501.03

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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.