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Finding the Fourth Proportional to 577.91, 797.43 and 329.15

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Solution

The fourth proportional to 577.91, 797.43 and 329.15 is: 454.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.91 : 797.43 = 329.15 : x
  2. Step 2: Convert to fraction form
    577.91/797.43 = 329.15/x
  3. Step 3: Cross multiply
    577.91x = 797.43 × 329.15
  4. Step 4: Simplify right side
    577.91x = 262,474.08
  5. Step 5: Solve for x
    x = 262,474.08/577.91
  6. Step 6: Final answer
    x = 454.18

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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.