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Finding the Fourth Proportional to 575.96, 794.08 and 418.82

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Solution

The fourth proportional to 575.96, 794.08 and 418.82 is: 577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.96 : 794.08 = 418.82 : x
  2. Step 2: Convert to fraction form
    575.96/794.08 = 418.82/x
  3. Step 3: Cross multiply
    575.96x = 794.08 × 418.82
  4. Step 4: Simplify right side
    575.96x = 332,576.59
  5. Step 5: Solve for x
    x = 332,576.59/575.96
  6. Step 6: Final answer
    x = 577.43

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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.