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Finding the Fourth Proportional to 421.80, 581.96 and 255.92

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Solution

The fourth proportional to 421.80, 581.96 and 255.92 is: 353.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.80 : 581.96 = 255.92 : x
  2. Step 2: Convert to fraction form
    421.80/581.96 = 255.92/x
  3. Step 3: Cross multiply
    421.80x = 581.96 × 255.92
  4. Step 4: Simplify right side
    421.80x = 148,935.20
  5. Step 5: Solve for x
    x = 148,935.20/421.80
  6. Step 6: Final answer
    x = 353.09

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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.