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Finding the Fourth Proportional to 663.62, 995.46 and 298.40

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Solution

The fourth proportional to 663.62, 995.46 and 298.40 is: 447.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.62 : 995.46 = 298.40 : x
  2. Step 2: Convert to fraction form
    663.62/995.46 = 298.40/x
  3. Step 3: Cross multiply
    663.62x = 995.46 × 298.40
  4. Step 4: Simplify right side
    663.62x = 297,045.26
  5. Step 5: Solve for x
    x = 297,045.26/663.62
  6. Step 6: Final answer
    x = 447.61

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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.