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Finding the Fourth Proportional to 604.92, 906.84 and 361.92

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Solution

The fourth proportional to 604.92, 906.84 and 361.92 is: 542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.92 : 906.84 = 361.92 : x
  2. Step 2: Convert to fraction form
    604.92/906.84 = 361.92/x
  3. Step 3: Cross multiply
    604.92x = 906.84 × 361.92
  4. Step 4: Simplify right side
    604.92x = 328,203.53
  5. Step 5: Solve for x
    x = 328,203.53/604.92
  6. Step 6: Final answer
    x = 542.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.