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Finding the Fourth Proportional to 578.18, 797.93 and 329.57

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Solution

The fourth proportional to 578.18, 797.93 and 329.57 is: 454.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.18 : 797.93 = 329.57 : x
  2. Step 2: Convert to fraction form
    578.18/797.93 = 329.57/x
  3. Step 3: Cross multiply
    578.18x = 797.93 × 329.57
  4. Step 4: Simplify right side
    578.18x = 262,975.37
  5. Step 5: Solve for x
    x = 262,975.37/578.18
  6. Step 6: Final answer
    x = 454.84

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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.