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Finding the Fourth Proportional to 280.96, 421.80 and 217.24

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Solution

The fourth proportional to 280.96, 421.80 and 217.24 is: 326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.96 : 421.80 = 217.24 : x
  2. Step 2: Convert to fraction form
    280.96/421.80 = 217.24/x
  3. Step 3: Cross multiply
    280.96x = 421.80 × 217.24
  4. Step 4: Simplify right side
    280.96x = 91,631.83
  5. Step 5: Solve for x
    x = 91,631.83/280.96
  6. Step 6: Final answer
    x = 326.14

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Why These Related Problems?

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