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Finding the Fourth Proportional to 408, 611.68 and 253.68

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Solution

The fourth proportional to 408, 611.68 and 253.68 is: 380.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    408 : 611.68 = 253.68 : x
  2. Step 2: Convert to fraction form
    408/611.68 = 253.68/x
  3. Step 3: Cross multiply
    408x = 611.68 × 253.68
  4. Step 4: Simplify right side
    408x = 155,170.98
  5. Step 5: Solve for x
    x = 155,170.98/408
  6. Step 6: Final answer
    x = 380.32

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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.