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Finding the Fourth Proportional to 577.38, 795.36 and 419.56

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Solution

The fourth proportional to 577.38, 795.36 and 419.56 is: 577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.38 : 795.36 = 419.56 : x
  2. Step 2: Convert to fraction form
    577.38/795.36 = 419.56/x
  3. Step 3: Cross multiply
    577.38x = 795.36 × 419.56
  4. Step 4: Simplify right side
    577.38x = 333,701.24
  5. Step 5: Solve for x
    x = 333,701.24/577.38
  6. Step 6: Final answer
    x = 577.96

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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.