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Finding the Fourth Proportional to 418.79, 577.94 and 232.28

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Solution

The fourth proportional to 418.79, 577.94 and 232.28 is: 320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.79 : 577.94 = 232.28 : x
  2. Step 2: Convert to fraction form
    418.79/577.94 = 232.28/x
  3. Step 3: Cross multiply
    418.79x = 577.94 × 232.28
  4. Step 4: Simplify right side
    418.79x = 134,239.85
  5. Step 5: Solve for x
    x = 134,239.85/418.79
  6. Step 6: Final answer
    x = 320.54

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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.