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Finding the Fourth Proportional to 282.90, 423.36 and 244.83

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Solution

The fourth proportional to 282.90, 423.36 and 244.83 is: 366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.90 : 423.36 = 244.83 : x
  2. Step 2: Convert to fraction form
    282.90/423.36 = 244.83/x
  3. Step 3: Cross multiply
    282.90x = 423.36 × 244.83
  4. Step 4: Simplify right side
    282.90x = 103,651.23
  5. Step 5: Solve for x
    x = 103,651.23/282.90
  6. Step 6: Final answer
    x = 366.39

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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.