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Finding the Fourth Proportional to 664.59, 996.57 and 253.65

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Solution

The fourth proportional to 664.59, 996.57 and 253.65 is: 380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.59 : 996.57 = 253.65 : x
  2. Step 2: Convert to fraction form
    664.59/996.57 = 253.65/x
  3. Step 3: Cross multiply
    664.59x = 996.57 × 253.65
  4. Step 4: Simplify right side
    664.59x = 252,779.98
  5. Step 5: Solve for x
    x = 252,779.98/664.59
  6. Step 6: Final answer
    x = 380.35

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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.