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Finding the Fourth Proportional to 655.84, 905.05 and 361.09

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Solution

The fourth proportional to 655.84, 905.05 and 361.09 is: 498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.84 : 905.05 = 361.09 : x
  2. Step 2: Convert to fraction form
    655.84/905.05 = 361.09/x
  3. Step 3: Cross multiply
    655.84x = 905.05 × 361.09
  4. Step 4: Simplify right side
    655.84x = 326,804.50
  5. Step 5: Solve for x
    x = 326,804.50/655.84
  6. Step 6: Final answer
    x = 498.30

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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.