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Finding the Fourth Proportional to 577.26, 864.60 and 414.44

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Solution

The fourth proportional to 577.26, 864.60 and 414.44 is: 620.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.26 : 864.60 = 414.44 : x
  2. Step 2: Convert to fraction form
    577.26/864.60 = 414.44/x
  3. Step 3: Cross multiply
    577.26x = 864.60 × 414.44
  4. Step 4: Simplify right side
    577.26x = 358,324.82
  5. Step 5: Solve for x
    x = 358,324.82/577.26
  6. Step 6: Final answer
    x = 620.73

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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.