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Finding the Fourth Proportional to 533.63, 735.75 and 344.25

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Solution

The fourth proportional to 533.63, 735.75 and 344.25 is: 474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.63 : 735.75 = 344.25 : x
  2. Step 2: Convert to fraction form
    533.63/735.75 = 344.25/x
  3. Step 3: Cross multiply
    533.63x = 735.75 × 344.25
  4. Step 4: Simplify right side
    533.63x = 253,281.94
  5. Step 5: Solve for x
    x = 253,281.94/533.63
  6. Step 6: Final answer
    x = 474.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.