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Finding the Fourth Proportional to 282.36, 423.50 and 253.64

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Solution

The fourth proportional to 282.36, 423.50 and 253.64 is: 380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.36 : 423.50 = 253.64 : x
  2. Step 2: Convert to fraction form
    282.36/423.50 = 253.64/x
  3. Step 3: Cross multiply
    282.36x = 423.50 × 253.64
  4. Step 4: Simplify right side
    282.36x = 107,416.54
  5. Step 5: Solve for x
    x = 107,416.54/282.36
  6. Step 6: Final answer
    x = 380.42

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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.