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Finding the Fourth Proportional to 577.05, 796.14 and 328.29

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Solution

The fourth proportional to 577.05, 796.14 and 328.29 is: 452.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.05 : 796.14 = 328.29 : x
  2. Step 2: Convert to fraction form
    577.05/796.14 = 328.29/x
  3. Step 3: Cross multiply
    577.05x = 796.14 × 328.29
  4. Step 4: Simplify right side
    577.05x = 261,364.80
  5. Step 5: Solve for x
    x = 261,364.80/577.05
  6. Step 6: Final answer
    x = 452.93

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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.