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Finding the Fourth Proportional to 282.23, 422.84 and 253.69

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Solution

The fourth proportional to 282.23, 422.84 and 253.69 is: 380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.23 : 422.84 = 253.69 : x
  2. Step 2: Convert to fraction form
    282.23/422.84 = 253.69/x
  3. Step 3: Cross multiply
    282.23x = 422.84 × 253.69
  4. Step 4: Simplify right side
    282.23x = 107,269.86
  5. Step 5: Solve for x
    x = 107,269.86/282.23
  6. Step 6: Final answer
    x = 380.08

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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.