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Finding the Fourth Proportional to 577.31, 796.66 and 328.63

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Solution

The fourth proportional to 577.31, 796.66 and 328.63 is: 453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.31 : 796.66 = 328.63 : x
  2. Step 2: Convert to fraction form
    577.31/796.66 = 328.63/x
  3. Step 3: Cross multiply
    577.31x = 796.66 × 328.63
  4. Step 4: Simplify right side
    577.31x = 261,806.38
  5. Step 5: Solve for x
    x = 261,806.38/577.31
  6. Step 6: Final answer
    x = 453.49

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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.