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Finding the Fourth Proportional to 533, 735.90 and 408.98

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Solution

The fourth proportional to 533, 735.90 and 408.98 is: 564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    533 : 735.90 = 408.98 : x
  2. Step 2: Convert to fraction form
    533/735.90 = 408.98/x
  3. Step 3: Cross multiply
    533x = 735.90 × 408.98
  4. Step 4: Simplify right side
    533x = 300,968.38
  5. Step 5: Solve for x
    x = 300,968.38/533
  6. Step 6: Final answer
    x = 564.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.