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Finding the Fourth Proportional to 577.71, 796.29 and 420.37

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Solution

The fourth proportional to 577.71, 796.29 and 420.37 is: 579.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.71 : 796.29 = 420.37 : x
  2. Step 2: Convert to fraction form
    577.71/796.29 = 420.37/x
  3. Step 3: Cross multiply
    577.71x = 796.29 × 420.37
  4. Step 4: Simplify right side
    577.71x = 334,732.45
  5. Step 5: Solve for x
    x = 334,732.45/577.71
  6. Step 6: Final answer
    x = 579.41

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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.