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Finding the Fourth Proportional to 553.41, 828.04 and 338.70

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Solution

The fourth proportional to 553.41, 828.04 and 338.70 is: 506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.41 : 828.04 = 338.70 : x
  2. Step 2: Convert to fraction form
    553.41/828.04 = 338.70/x
  3. Step 3: Cross multiply
    553.41x = 828.04 × 338.70
  4. Step 4: Simplify right side
    553.41x = 280,457.84
  5. Step 5: Solve for x
    x = 280,457.84/553.41
  6. Step 6: Final answer
    x = 506.78

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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.