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Finding the Fourth Proportional to 574.88, 794.16 and 548.24

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Solution

The fourth proportional to 574.88, 794.16 and 548.24 is: 757.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.88 : 794.16 = 548.24 : x
  2. Step 2: Convert to fraction form
    574.88/794.16 = 548.24/x
  3. Step 3: Cross multiply
    574.88x = 794.16 × 548.24
  4. Step 4: Simplify right side
    574.88x = 435,390.28
  5. Step 5: Solve for x
    x = 435,390.28/574.88
  6. Step 6: Final answer
    x = 757.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.