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Finding the Fourth Proportional to 908.58, 1,361.68 and 415.06

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Solution

The fourth proportional to 908.58, 1,361.68 and 415.06 is: 622.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.58 : 1,361.68 = 415.06 : x
  2. Step 2: Convert to fraction form
    908.58/1,361.68 = 415.06/x
  3. Step 3: Cross multiply
    908.58x = 1,361.68 × 415.06
  4. Step 4: Simplify right side
    908.58x = 565,174.46
  5. Step 5: Solve for x
    x = 565,174.46/908.58
  6. Step 6: Final answer
    x = 622.04

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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.