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Finding the Fourth Proportional to 604.76, 834.52 and 339.24

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Solution

The fourth proportional to 604.76, 834.52 and 339.24 is: 468.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.76 : 834.52 = 339.24 : x
  2. Step 2: Convert to fraction form
    604.76/834.52 = 339.24/x
  3. Step 3: Cross multiply
    604.76x = 834.52 × 339.24
  4. Step 4: Simplify right side
    604.76x = 283,102.56
  5. Step 5: Solve for x
    x = 283,102.56/604.76
  6. Step 6: Final answer
    x = 468.12

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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.