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Finding the Fourth Proportional to 418.31, 577.30 and 231.83

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Solution

The fourth proportional to 418.31, 577.30 and 231.83 is: 319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.31 : 577.30 = 231.83 : x
  2. Step 2: Convert to fraction form
    418.31/577.30 = 231.83/x
  3. Step 3: Cross multiply
    418.31x = 577.30 × 231.83
  4. Step 4: Simplify right side
    418.31x = 133,831.99
  5. Step 5: Solve for x
    x = 133,831.99/418.31
  6. Step 6: Final answer
    x = 319.94

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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.