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Finding the Fourth Proportional to 421.37, 581.38 and 255.66

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Solution

The fourth proportional to 421.37, 581.38 and 255.66 is: 352.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.37 : 581.38 = 255.66 : x
  2. Step 2: Convert to fraction form
    421.37/581.38 = 255.66/x
  3. Step 3: Cross multiply
    421.37x = 581.38 × 255.66
  4. Step 4: Simplify right side
    421.37x = 148,632.79
  5. Step 5: Solve for x
    x = 148,632.79/421.37
  6. Step 6: Final answer
    x = 352.74

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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.