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Finding the Fourth Proportional to 282.96, 421.74 and 280.68

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Solution

The fourth proportional to 282.96, 421.74 and 280.68 is: 418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.96 : 421.74 = 280.68 : x
  2. Step 2: Convert to fraction form
    282.96/421.74 = 280.68/x
  3. Step 3: Cross multiply
    282.96x = 421.74 × 280.68
  4. Step 4: Simplify right side
    282.96x = 118,373.98
  5. Step 5: Solve for x
    x = 118,373.98/282.96
  6. Step 6: Final answer
    x = 418.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.