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Finding the Fourth Proportional to 533.16, 794.23 and 517.04

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Solution

The fourth proportional to 533.16, 794.23 and 517.04 is: 770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.16 : 794.23 = 517.04 : x
  2. Step 2: Convert to fraction form
    533.16/794.23 = 517.04/x
  3. Step 3: Cross multiply
    533.16x = 794.23 × 517.04
  4. Step 4: Simplify right side
    533.16x = 410,648.68
  5. Step 5: Solve for x
    x = 410,648.68/533.16
  6. Step 6: Final answer
    x = 770.22

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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.