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Finding the Fourth Proportional to 578.14, 797.83 and 329.46

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Solution

The fourth proportional to 578.14, 797.83 and 329.46 is: 454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.14 : 797.83 = 329.46 : x
  2. Step 2: Convert to fraction form
    578.14/797.83 = 329.46/x
  3. Step 3: Cross multiply
    578.14x = 797.83 × 329.46
  4. Step 4: Simplify right side
    578.14x = 262,848.26
  5. Step 5: Solve for x
    x = 262,848.26/578.14
  6. Step 6: Final answer
    x = 454.65

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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.