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Finding the Fourth Proportional to 280.73, 422.99 and 233.03

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Solution

The fourth proportional to 280.73, 422.99 and 233.03 is: 351.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.73 : 422.99 = 233.03 : x
  2. Step 2: Convert to fraction form
    280.73/422.99 = 233.03/x
  3. Step 3: Cross multiply
    280.73x = 422.99 × 233.03
  4. Step 4: Simplify right side
    280.73x = 98,566.08
  5. Step 5: Solve for x
    x = 98,566.08/280.73
  6. Step 6: Final answer
    x = 351.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.