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Finding the Fourth Proportional to 577.45, 796.15 and 419.96

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Solution

The fourth proportional to 577.45, 796.15 and 419.96 is: 579.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.45 : 796.15 = 419.96 : x
  2. Step 2: Convert to fraction form
    577.45/796.15 = 419.96/x
  3. Step 3: Cross multiply
    577.45x = 796.15 × 419.96
  4. Step 4: Simplify right side
    577.45x = 334,351.15
  5. Step 5: Solve for x
    x = 334,351.15/577.45
  6. Step 6: Final answer
    x = 579.01

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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.