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Finding the Fourth Proportional to 577.48, 796.70 and 328.80

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Solution

The fourth proportional to 577.48, 796.70 and 328.80 is: 453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.48 : 796.70 = 328.80 : x
  2. Step 2: Convert to fraction form
    577.48/796.70 = 328.80/x
  3. Step 3: Cross multiply
    577.48x = 796.70 × 328.80
  4. Step 4: Simplify right side
    577.48x = 261,954.96
  5. Step 5: Solve for x
    x = 261,954.96/577.48
  6. Step 6: Final answer
    x = 453.62

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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.