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Finding the Fourth Proportional to 600.03, 828.14 and 338.13

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Solution

The fourth proportional to 600.03, 828.14 and 338.13 is: 466.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.03 : 828.14 = 338.13 : x
  2. Step 2: Convert to fraction form
    600.03/828.14 = 338.13/x
  3. Step 3: Cross multiply
    600.03x = 828.14 × 338.13
  4. Step 4: Simplify right side
    600.03x = 280,017.29
  5. Step 5: Solve for x
    x = 280,017.29/600.03
  6. Step 6: Final answer
    x = 466.67

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Why These Related Problems?

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