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Finding the Fourth Proportional to 578.21, 797.96 and 316.23

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Solution

The fourth proportional to 578.21, 797.96 and 316.23 is: 436.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.21 : 797.96 = 316.23 : x
  2. Step 2: Convert to fraction form
    578.21/797.96 = 316.23/x
  3. Step 3: Cross multiply
    578.21x = 797.96 × 316.23
  4. Step 4: Simplify right side
    578.21x = 252,338.89
  5. Step 5: Solve for x
    x = 252,338.89/578.21
  6. Step 6: Final answer
    x = 436.41

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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.