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Finding the Fourth Proportional to 578.26, 795.90 and 504.82

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Solution

The fourth proportional to 578.26, 795.90 and 504.82 is: 694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.26 : 795.90 = 504.82 : x
  2. Step 2: Convert to fraction form
    578.26/795.90 = 504.82/x
  3. Step 3: Cross multiply
    578.26x = 795.90 × 504.82
  4. Step 4: Simplify right side
    578.26x = 401,786.24
  5. Step 5: Solve for x
    x = 401,786.24/578.26
  6. Step 6: Final answer
    x = 694.82

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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.