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Finding the Fourth Proportional to 298.05, 411.42 and 266.91

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Solution

The fourth proportional to 298.05, 411.42 and 266.91 is: 368.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.05 : 411.42 = 266.91 : x
  2. Step 2: Convert to fraction form
    298.05/411.42 = 266.91/x
  3. Step 3: Cross multiply
    298.05x = 411.42 × 266.91
  4. Step 4: Simplify right side
    298.05x = 109,812.11
  5. Step 5: Solve for x
    x = 109,812.11/298.05
  6. Step 6: Final answer
    x = 368.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.