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Finding the Fourth Proportional to 604.60, 834.30 and 383.67

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Solution

The fourth proportional to 604.60, 834.30 and 383.67 is: 529.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.60 : 834.30 = 383.67 : x
  2. Step 2: Convert to fraction form
    604.60/834.30 = 383.67/x
  3. Step 3: Cross multiply
    604.60x = 834.30 × 383.67
  4. Step 4: Simplify right side
    604.60x = 320,095.88
  5. Step 5: Solve for x
    x = 320,095.88/604.60
  6. Step 6: Final answer
    x = 529.44

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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.