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Finding the Fourth Proportional to 298.42, 447.64 and 82.01

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Solution

The fourth proportional to 298.42, 447.64 and 82.01 is: 123.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.42 : 447.64 = 82.01 : x
  2. Step 2: Convert to fraction form
    298.42/447.64 = 82.01/x
  3. Step 3: Cross multiply
    298.42x = 447.64 × 82.01
  4. Step 4: Simplify right side
    298.42x = 36,711.87
  5. Step 5: Solve for x
    x = 36,711.87/298.42
  6. Step 6: Final answer
    x = 123.02

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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.