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Finding the Fourth Proportional to 577.62, 797.16 and 329.01

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Solution

The fourth proportional to 577.62, 797.16 and 329.01 is: 454.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.62 : 797.16 = 329.01 : x
  2. Step 2: Convert to fraction form
    577.62/797.16 = 329.01/x
  3. Step 3: Cross multiply
    577.62x = 797.16 × 329.01
  4. Step 4: Simplify right side
    577.62x = 262,273.61
  5. Step 5: Solve for x
    x = 262,273.61/577.62
  6. Step 6: Final answer
    x = 454.06

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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.