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Finding the Fourth Proportional to 663.84, 996.08 and 298.88

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Solution

The fourth proportional to 663.84, 996.08 and 298.88 is: 448.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.84 : 996.08 = 298.88 : x
  2. Step 2: Convert to fraction form
    663.84/996.08 = 298.88/x
  3. Step 3: Cross multiply
    663.84x = 996.08 × 298.88
  4. Step 4: Simplify right side
    663.84x = 297,708.39
  5. Step 5: Solve for x
    x = 297,708.39/663.84
  6. Step 6: Final answer
    x = 448.46

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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.