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Finding the Fourth Proportional to 486.43, 671.46 and 289.95

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Solution

The fourth proportional to 486.43, 671.46 and 289.95 is: 400.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.43 : 671.46 = 289.95 : x
  2. Step 2: Convert to fraction form
    486.43/671.46 = 289.95/x
  3. Step 3: Cross multiply
    486.43x = 671.46 × 289.95
  4. Step 4: Simplify right side
    486.43x = 194,692.34
  5. Step 5: Solve for x
    x = 194,692.34/486.43
  6. Step 6: Final answer
    x = 400.25

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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.