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Finding the Fourth Proportional to 996.65, 1,495.17 and 303.38

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Solution

The fourth proportional to 996.65, 1,495.17 and 303.38 is: 455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.65 : 1,495.17 = 303.38 : x
  2. Step 2: Convert to fraction form
    996.65/1,495.17 = 303.38/x
  3. Step 3: Cross multiply
    996.65x = 1,495.17 × 303.38
  4. Step 4: Simplify right side
    996.65x = 453,608.41
  5. Step 5: Solve for x
    x = 453,608.41/996.65
  6. Step 6: Final answer
    x = 455.14

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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.