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Finding the Fourth Proportional to 418.56, 577.52 and 234.56

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Solution

The fourth proportional to 418.56, 577.52 and 234.56 is: 323.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.56 : 577.52 = 234.56 : x
  2. Step 2: Convert to fraction form
    418.56/577.52 = 234.56/x
  3. Step 3: Cross multiply
    418.56x = 577.52 × 234.56
  4. Step 4: Simplify right side
    418.56x = 135,463.09
  5. Step 5: Solve for x
    x = 135,463.09/418.56
  6. Step 6: Final answer
    x = 323.64

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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.