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Finding the Fourth Proportional to 421.08, 580.95 and 255.24

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Solution

The fourth proportional to 421.08, 580.95 and 255.24 is: 352.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.08 : 580.95 = 255.24 : x
  2. Step 2: Convert to fraction form
    421.08/580.95 = 255.24/x
  3. Step 3: Cross multiply
    421.08x = 580.95 × 255.24
  4. Step 4: Simplify right side
    421.08x = 148,281.68
  5. Step 5: Solve for x
    x = 148,281.68/421.08
  6. Step 6: Final answer
    x = 352.15

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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.