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Finding the Fourth Proportional to 365.96, 544.24 and 354.43

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Solution

The fourth proportional to 365.96, 544.24 and 354.43 is: 527.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.96 : 544.24 = 354.43 : x
  2. Step 2: Convert to fraction form
    365.96/544.24 = 354.43/x
  3. Step 3: Cross multiply
    365.96x = 544.24 × 354.43
  4. Step 4: Simplify right side
    365.96x = 192,893.21
  5. Step 5: Solve for x
    x = 192,893.21/365.96
  6. Step 6: Final answer
    x = 527.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.