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Finding the Fourth Proportional to 282.87, 421.82 and 263.40

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Solution

The fourth proportional to 282.87, 421.82 and 263.40 is: 392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.87 : 421.82 = 263.40 : x
  2. Step 2: Convert to fraction form
    282.87/421.82 = 263.40/x
  3. Step 3: Cross multiply
    282.87x = 421.82 × 263.40
  4. Step 4: Simplify right side
    282.87x = 111,106.07
  5. Step 5: Solve for x
    x = 111,106.07/282.87
  6. Step 6: Final answer
    x = 392.78

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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.