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Finding the Fourth Proportional to 533.23, 798.76 and 276.19

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Solution

The fourth proportional to 533.23, 798.76 and 276.19 is: 413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.23 : 798.76 = 276.19 : x
  2. Step 2: Convert to fraction form
    533.23/798.76 = 276.19/x
  3. Step 3: Cross multiply
    533.23x = 798.76 × 276.19
  4. Step 4: Simplify right side
    533.23x = 220,607.87
  5. Step 5: Solve for x
    x = 220,607.87/533.23
  6. Step 6: Final answer
    x = 413.72

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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.