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Finding the Fourth Proportional to 622.96, 859.68 and 361.06

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Solution

The fourth proportional to 622.96, 859.68 and 361.06 is: 498.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.96 : 859.68 = 361.06 : x
  2. Step 2: Convert to fraction form
    622.96/859.68 = 361.06/x
  3. Step 3: Cross multiply
    622.96x = 859.68 × 361.06
  4. Step 4: Simplify right side
    622.96x = 310,396.06
  5. Step 5: Solve for x
    x = 310,396.06/622.96
  6. Step 6: Final answer
    x = 498.26

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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.