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Finding the Fourth Proportional to 533.88, 796.34 and 484.67

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Solution

The fourth proportional to 533.88, 796.34 and 484.67 is: 722.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.88 : 796.34 = 484.67 : x
  2. Step 2: Convert to fraction form
    533.88/796.34 = 484.67/x
  3. Step 3: Cross multiply
    533.88x = 796.34 × 484.67
  4. Step 4: Simplify right side
    533.88x = 385,955.70
  5. Step 5: Solve for x
    x = 385,955.70/533.88
  6. Step 6: Final answer
    x = 722.93

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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.