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Finding the Fourth Proportional to 664.53, 996.09 and 317.65

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Solution

The fourth proportional to 664.53, 996.09 and 317.65 is: 476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.53 : 996.09 = 317.65 : x
  2. Step 2: Convert to fraction form
    664.53/996.09 = 317.65/x
  3. Step 3: Cross multiply
    664.53x = 996.09 × 317.65
  4. Step 4: Simplify right side
    664.53x = 316,407.99
  5. Step 5: Solve for x
    x = 316,407.99/664.53
  6. Step 6: Final answer
    x = 476.14

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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.