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Finding the Fourth Proportional to 548.24, 816.64 and 523.28

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Solution

The fourth proportional to 548.24, 816.64 and 523.28 is: 779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.24 : 816.64 = 523.28 : x
  2. Step 2: Convert to fraction form
    548.24/816.64 = 523.28/x
  3. Step 3: Cross multiply
    548.24x = 816.64 × 523.28
  4. Step 4: Simplify right side
    548.24x = 427,331.38
  5. Step 5: Solve for x
    x = 427,331.38/548.24
  6. Step 6: Final answer
    x = 779.46

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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.