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Finding the Fourth Proportional to 418.29, 577.24 and 231.77

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Solution

The fourth proportional to 418.29, 577.24 and 231.77 is: 319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.29 : 577.24 = 231.77 : x
  2. Step 2: Convert to fraction form
    418.29/577.24 = 231.77/x
  3. Step 3: Cross multiply
    418.29x = 577.24 × 231.77
  4. Step 4: Simplify right side
    418.29x = 133,784.31
  5. Step 5: Solve for x
    x = 133,784.31/418.29
  6. Step 6: Final answer
    x = 319.84

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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.