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Finding the Fourth Proportional to 533.24, 798.19 and 370.43

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Solution

The fourth proportional to 533.24, 798.19 and 370.43 is: 554.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.24 : 798.19 = 370.43 : x
  2. Step 2: Convert to fraction form
    533.24/798.19 = 370.43/x
  3. Step 3: Cross multiply
    533.24x = 798.19 × 370.43
  4. Step 4: Simplify right side
    533.24x = 295,673.52
  5. Step 5: Solve for x
    x = 295,673.52/533.24
  6. Step 6: Final answer
    x = 554.48

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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.