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Finding the Fourth Proportional to 533.98, 800.49 and 187.07

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Solution

The fourth proportional to 533.98, 800.49 and 187.07 is: 280.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.98 : 800.49 = 187.07 : x
  2. Step 2: Convert to fraction form
    533.98/800.49 = 187.07/x
  3. Step 3: Cross multiply
    533.98x = 800.49 × 187.07
  4. Step 4: Simplify right side
    533.98x = 149,749.67
  5. Step 5: Solve for x
    x = 149,749.67/533.98
  6. Step 6: Final answer
    x = 280.44

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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.