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Finding the Fourth Proportional to 530.45, 796.37 and 408.80

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Solution

The fourth proportional to 530.45, 796.37 and 408.80 is: 613.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.45 : 796.37 = 408.80 : x
  2. Step 2: Convert to fraction form
    530.45/796.37 = 408.80/x
  3. Step 3: Cross multiply
    530.45x = 796.37 × 408.80
  4. Step 4: Simplify right side
    530.45x = 325,554.01
  5. Step 5: Solve for x
    x = 325,554.01/530.45
  6. Step 6: Final answer
    x = 613.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.