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Finding the Fourth Proportional to 533.26, 798.91 and 368.74

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Solution

The fourth proportional to 533.26, 798.91 and 368.74 is: 552.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.26 : 798.91 = 368.74 : x
  2. Step 2: Convert to fraction form
    533.26/798.91 = 368.74/x
  3. Step 3: Cross multiply
    533.26x = 798.91 × 368.74
  4. Step 4: Simplify right side
    533.26x = 294,584.24
  5. Step 5: Solve for x
    x = 294,584.24/533.26
  6. Step 6: Final answer
    x = 552.43

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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.