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Finding the Fourth Proportional to 523.96, 783.91 and 361.15

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Solution

The fourth proportional to 523.96, 783.91 and 361.15 is: 540.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.96 : 783.91 = 361.15 : x
  2. Step 2: Convert to fraction form
    523.96/783.91 = 361.15/x
  3. Step 3: Cross multiply
    523.96x = 783.91 × 361.15
  4. Step 4: Simplify right side
    523.96x = 283,109.10
  5. Step 5: Solve for x
    x = 283,109.10/523.96
  6. Step 6: Final answer
    x = 540.33

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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.