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Finding the Fourth Proportional to 282.19, 422.67 and 276.65

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Solution

The fourth proportional to 282.19, 422.67 and 276.65 is: 414.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.19 : 422.67 = 276.65 : x
  2. Step 2: Convert to fraction form
    282.19/422.67 = 276.65/x
  3. Step 3: Cross multiply
    282.19x = 422.67 × 276.65
  4. Step 4: Simplify right side
    282.19x = 116,931.66
  5. Step 5: Solve for x
    x = 116,931.66/282.19
  6. Step 6: Final answer
    x = 414.37

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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.