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Finding the Fourth Proportional to 533.80, 798.90 and 490.60

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Solution

The fourth proportional to 533.80, 798.90 and 490.60 is: 734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.80 : 798.90 = 490.60 : x
  2. Step 2: Convert to fraction form
    533.80/798.90 = 490.60/x
  3. Step 3: Cross multiply
    533.80x = 798.90 × 490.60
  4. Step 4: Simplify right side
    533.80x = 391,940.34
  5. Step 5: Solve for x
    x = 391,940.34/533.80
  6. Step 6: Final answer
    x = 734.25

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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.