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Finding the Fourth Proportional to 412.75, 617.93 and 289.20

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Solution

The fourth proportional to 412.75, 617.93 and 289.20 is: 432.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.75 : 617.93 = 289.20 : x
  2. Step 2: Convert to fraction form
    412.75/617.93 = 289.20/x
  3. Step 3: Cross multiply
    412.75x = 617.93 × 289.20
  4. Step 4: Simplify right side
    412.75x = 178,703.91
  5. Step 5: Solve for x
    x = 178,703.91/412.75
  6. Step 6: Final answer
    x = 432.96

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