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Finding the Fourth Proportional to 577.69, 797.19 and 329.04

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Solution

The fourth proportional to 577.69, 797.19 and 329.04 is: 454.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.69 : 797.19 = 329.04 : x
  2. Step 2: Convert to fraction form
    577.69/797.19 = 329.04/x
  3. Step 3: Cross multiply
    577.69x = 797.19 × 329.04
  4. Step 4: Simplify right side
    577.69x = 262,306.58
  5. Step 5: Solve for x
    x = 262,306.58/577.69
  6. Step 6: Final answer
    x = 454.07

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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.