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Finding the Fourth Proportional to 800.21, 1,200.08 and 280.08

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Solution

The fourth proportional to 800.21, 1,200.08 and 280.08 is: 420.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.21 : 1,200.08 = 280.08 : x
  2. Step 2: Convert to fraction form
    800.21/1,200.08 = 280.08/x
  3. Step 3: Cross multiply
    800.21x = 1,200.08 × 280.08
  4. Step 4: Simplify right side
    800.21x = 336,117.01
  5. Step 5: Solve for x
    x = 336,117.01/800.21
  6. Step 6: Final answer
    x = 420.04

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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.