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Finding the Fourth Proportional to 930.03, 1,395.09 and 280.80

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Solution

The fourth proportional to 930.03, 1,395.09 and 280.80 is: 421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.03 : 1,395.09 = 280.80 : x
  2. Step 2: Convert to fraction form
    930.03/1,395.09 = 280.80/x
  3. Step 3: Cross multiply
    930.03x = 1,395.09 × 280.80
  4. Step 4: Simplify right side
    930.03x = 391,741.27
  5. Step 5: Solve for x
    x = 391,741.27/930.03
  6. Step 6: Final answer
    x = 421.21

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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.