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Finding the Fourth Proportional to 282.74, 423.68 and 209.27

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Solution

The fourth proportional to 282.74, 423.68 and 209.27 is: 313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.74 : 423.68 = 209.27 : x
  2. Step 2: Convert to fraction form
    282.74/423.68 = 209.27/x
  3. Step 3: Cross multiply
    282.74x = 423.68 × 209.27
  4. Step 4: Simplify right side
    282.74x = 88,660.35
  5. Step 5: Solve for x
    x = 88,660.35/282.74
  6. Step 6: Final answer
    x = 313.58

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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.