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Finding the Fourth Proportional to 671.20, 1,005.60 and 414.40

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Solution

The fourth proportional to 671.20, 1,005.60 and 414.40 is: 620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.20 : 1,005.60 = 414.40 : x
  2. Step 2: Convert to fraction form
    671.20/1,005.60 = 414.40/x
  3. Step 3: Cross multiply
    671.20x = 1,005.60 × 414.40
  4. Step 4: Simplify right side
    671.20x = 416,720.64
  5. Step 5: Solve for x
    x = 416,720.64/671.20
  6. Step 6: Final answer
    x = 620.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.