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Finding the Fourth Proportional to 577.55, 796.77 and 419.80

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Solution

The fourth proportional to 577.55, 796.77 and 419.80 is: 579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.55 : 796.77 = 419.80 : x
  2. Step 2: Convert to fraction form
    577.55/796.77 = 419.80/x
  3. Step 3: Cross multiply
    577.55x = 796.77 × 419.80
  4. Step 4: Simplify right side
    577.55x = 334,484.05
  5. Step 5: Solve for x
    x = 334,484.05/577.55
  6. Step 6: Final answer
    x = 579.14

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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.