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Finding the Fourth Proportional to 533.05, 798.86 and 394.98

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Solution

The fourth proportional to 533.05, 798.86 and 394.98 is: 591.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.05 : 798.86 = 394.98 : x
  2. Step 2: Convert to fraction form
    533.05/798.86 = 394.98/x
  3. Step 3: Cross multiply
    533.05x = 798.86 × 394.98
  4. Step 4: Simplify right side
    533.05x = 315,531.71
  5. Step 5: Solve for x
    x = 315,531.71/533.05
  6. Step 6: Final answer
    x = 591.94

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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.