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Finding the Fourth Proportional to 298.94, 448.62 and 268.06

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Solution

The fourth proportional to 298.94, 448.62 and 268.06 is: 402.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.94 : 448.62 = 268.06 : x
  2. Step 2: Convert to fraction form
    298.94/448.62 = 268.06/x
  3. Step 3: Cross multiply
    298.94x = 448.62 × 268.06
  4. Step 4: Simplify right side
    298.94x = 120,257.08
  5. Step 5: Solve for x
    x = 120,257.08/298.94
  6. Step 6: Final answer
    x = 402.28

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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.