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Finding the Fourth Proportional to 541.44, 811.68 and 495.24

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Solution

The fourth proportional to 541.44, 811.68 and 495.24 is: 742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.44 : 811.68 = 495.24 : x
  2. Step 2: Convert to fraction form
    541.44/811.68 = 495.24/x
  3. Step 3: Cross multiply
    541.44x = 811.68 × 495.24
  4. Step 4: Simplify right side
    541.44x = 401,976.40
  5. Step 5: Solve for x
    x = 401,976.40/541.44
  6. Step 6: Final answer
    x = 742.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.