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Finding the Fourth Proportional to 298.30, 409.91 and 242.92

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Solution

The fourth proportional to 298.30, 409.91 and 242.92 is: 333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.30 : 409.91 = 242.92 : x
  2. Step 2: Convert to fraction form
    298.30/409.91 = 242.92/x
  3. Step 3: Cross multiply
    298.30x = 409.91 × 242.92
  4. Step 4: Simplify right side
    298.30x = 99,575.34
  5. Step 5: Solve for x
    x = 99,575.34/298.30
  6. Step 6: Final answer
    x = 333.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.