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Finding the Fourth Proportional to 996.96, 1,495.44 and 294.24

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Solution

The fourth proportional to 996.96, 1,495.44 and 294.24 is: 441.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.96 : 1,495.44 = 294.24 : x
  2. Step 2: Convert to fraction form
    996.96/1,495.44 = 294.24/x
  3. Step 3: Cross multiply
    996.96x = 1,495.44 × 294.24
  4. Step 4: Simplify right side
    996.96x = 440,018.27
  5. Step 5: Solve for x
    x = 440,018.27/996.96
  6. Step 6: Final answer
    x = 441.36

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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.