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Finding the Fourth Proportional to 282.85, 421.78 and 260.41

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Solution

The fourth proportional to 282.85, 421.78 and 260.41 is: 388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.85 : 421.78 = 260.41 : x
  2. Step 2: Convert to fraction form
    282.85/421.78 = 260.41/x
  3. Step 3: Cross multiply
    282.85x = 421.78 × 260.41
  4. Step 4: Simplify right side
    282.85x = 109,833.62
  5. Step 5: Solve for x
    x = 109,833.62/282.85
  6. Step 6: Final answer
    x = 388.32

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