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Finding the Fourth Proportional to 412.10, 617.24 and 296.20

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Solution

The fourth proportional to 412.10, 617.24 and 296.20 is: 443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.10 : 617.24 = 296.20 : x
  2. Step 2: Convert to fraction form
    412.10/617.24 = 296.20/x
  3. Step 3: Cross multiply
    412.10x = 617.24 × 296.20
  4. Step 4: Simplify right side
    412.10x = 182,826.49
  5. Step 5: Solve for x
    x = 182,826.49/412.10
  6. Step 6: Final answer
    x = 443.64

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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.