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Finding the Fourth Proportional to 533.08, 794.25 and 505.12

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Solution

The fourth proportional to 533.08, 794.25 and 505.12 is: 752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.08 : 794.25 = 505.12 : x
  2. Step 2: Convert to fraction form
    533.08/794.25 = 505.12/x
  3. Step 3: Cross multiply
    533.08x = 794.25 × 505.12
  4. Step 4: Simplify right side
    533.08x = 401,191.56
  5. Step 5: Solve for x
    x = 401,191.56/533.08
  6. Step 6: Final answer
    x = 752.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.