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Finding the Fourth Proportional to 418.73, 577.86 and 232.24

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Solution

The fourth proportional to 418.73, 577.86 and 232.24 is: 320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.73 : 577.86 = 232.24 : x
  2. Step 2: Convert to fraction form
    418.73/577.86 = 232.24/x
  3. Step 3: Cross multiply
    418.73x = 577.86 × 232.24
  4. Step 4: Simplify right side
    418.73x = 134,202.79
  5. Step 5: Solve for x
    x = 134,202.79/418.73
  6. Step 6: Final answer
    x = 320.50

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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.