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Finding the Fourth Proportional to 421.08, 580.32 and 289.86

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Solution

The fourth proportional to 421.08, 580.32 and 289.86 is: 399.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.08 : 580.32 = 289.86 : x
  2. Step 2: Convert to fraction form
    421.08/580.32 = 289.86/x
  3. Step 3: Cross multiply
    421.08x = 580.32 × 289.86
  4. Step 4: Simplify right side
    421.08x = 168,211.56
  5. Step 5: Solve for x
    x = 168,211.56/421.08
  6. Step 6: Final answer
    x = 399.48

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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.