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Finding the Fourth Proportional to 577.38, 796.76 and 328.70

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Solution

The fourth proportional to 577.38, 796.76 and 328.70 is: 453.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.38 : 796.76 = 328.70 : x
  2. Step 2: Convert to fraction form
    577.38/796.76 = 328.70/x
  3. Step 3: Cross multiply
    577.38x = 796.76 × 328.70
  4. Step 4: Simplify right side
    577.38x = 261,895.01
  5. Step 5: Solve for x
    x = 261,895.01/577.38
  6. Step 6: Final answer
    x = 453.59

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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.