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Finding the Fourth Proportional to 523.12, 783.63 and 349.21

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Solution

The fourth proportional to 523.12, 783.63 and 349.21 is: 523.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.12 : 783.63 = 349.21 : x
  2. Step 2: Convert to fraction form
    523.12/783.63 = 349.21/x
  3. Step 3: Cross multiply
    523.12x = 783.63 × 349.21
  4. Step 4: Simplify right side
    523.12x = 273,651.43
  5. Step 5: Solve for x
    x = 273,651.43/523.12
  6. Step 6: Final answer
    x = 523.11

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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.