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Finding the Fourth Proportional to 486.26, 671.20 and 289.76

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Solution

The fourth proportional to 486.26, 671.20 and 289.76 is: 399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.26 : 671.20 = 289.76 : x
  2. Step 2: Convert to fraction form
    486.26/671.20 = 289.76/x
  3. Step 3: Cross multiply
    486.26x = 671.20 × 289.76
  4. Step 4: Simplify right side
    486.26x = 194,486.91
  5. Step 5: Solve for x
    x = 194,486.91/486.26
  6. Step 6: Final answer
    x = 399.96

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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.