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Finding the Fourth Proportional to 828.08, 1,242.26 and 280.14

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Solution

The fourth proportional to 828.08, 1,242.26 and 280.14 is: 420.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.08 : 1,242.26 = 280.14 : x
  2. Step 2: Convert to fraction form
    828.08/1,242.26 = 280.14/x
  3. Step 3: Cross multiply
    828.08x = 1,242.26 × 280.14
  4. Step 4: Simplify right side
    828.08x = 348,005.32
  5. Step 5: Solve for x
    x = 348,005.32/828.08
  6. Step 6: Final answer
    x = 420.26

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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.