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Finding the Fourth Proportional to 577.60, 799.68 and 548.80

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Solution

The fourth proportional to 577.60, 799.68 and 548.80 is: 759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.60 : 799.68 = 548.80 : x
  2. Step 2: Convert to fraction form
    577.60/799.68 = 548.80/x
  3. Step 3: Cross multiply
    577.60x = 799.68 × 548.80
  4. Step 4: Simplify right side
    577.60x = 438,864.38
  5. Step 5: Solve for x
    x = 438,864.38/577.60
  6. Step 6: Final answer
    x = 759.81

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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.