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Finding the Fourth Proportional to 578.20, 797.86 and 316.20

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Solution

The fourth proportional to 578.20, 797.86 and 316.20 is: 436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.20 : 797.86 = 316.20 : x
  2. Step 2: Convert to fraction form
    578.20/797.86 = 316.20/x
  3. Step 3: Cross multiply
    578.20x = 797.86 × 316.20
  4. Step 4: Simplify right side
    578.20x = 252,283.33
  5. Step 5: Solve for x
    x = 252,283.33/578.20
  6. Step 6: Final answer
    x = 436.33

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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.