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Finding the Fourth Proportional to 412.44, 617.64 and 296.64

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Solution

The fourth proportional to 412.44, 617.64 and 296.64 is: 444.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.44 : 617.64 = 296.64 : x
  2. Step 2: Convert to fraction form
    412.44/617.64 = 296.64/x
  3. Step 3: Cross multiply
    412.44x = 617.64 × 296.64
  4. Step 4: Simplify right side
    412.44x = 183,216.73
  5. Step 5: Solve for x
    x = 183,216.73/412.44
  6. Step 6: Final answer
    x = 444.23

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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.