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Finding the Fourth Proportional to 663.94, 996.08 and 298.98

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Solution

The fourth proportional to 663.94, 996.08 and 298.98 is: 448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.94 : 996.08 = 298.98 : x
  2. Step 2: Convert to fraction form
    663.94/996.08 = 298.98/x
  3. Step 3: Cross multiply
    663.94x = 996.08 × 298.98
  4. Step 4: Simplify right side
    663.94x = 297,808.00
  5. Step 5: Solve for x
    x = 297,808.00/663.94
  6. Step 6: Final answer
    x = 448.55

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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.