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Finding the Fourth Proportional to 574.72, 793.40 and 427.68

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Solution

The fourth proportional to 574.72, 793.40 and 427.68 is: 590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.72 : 793.40 = 427.68 : x
  2. Step 2: Convert to fraction form
    574.72/793.40 = 427.68/x
  3. Step 3: Cross multiply
    574.72x = 793.40 × 427.68
  4. Step 4: Simplify right side
    574.72x = 339,321.31
  5. Step 5: Solve for x
    x = 339,321.31/574.72
  6. Step 6: Final answer
    x = 590.41

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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.