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Finding the Fourth Proportional to 604.56, 834.24 and 383.12

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Solution

The fourth proportional to 604.56, 834.24 and 383.12 is: 528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.56 : 834.24 = 383.12 : x
  2. Step 2: Convert to fraction form
    604.56/834.24 = 383.12/x
  3. Step 3: Cross multiply
    604.56x = 834.24 × 383.12
  4. Step 4: Simplify right side
    604.56x = 319,614.03
  5. Step 5: Solve for x
    x = 319,614.03/604.56
  6. Step 6: Final answer
    x = 528.67

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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.