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Finding the Fourth Proportional to 412.02, 617.96 and 192.65

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Solution

The fourth proportional to 412.02, 617.96 and 192.65 is: 288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.02 : 617.96 = 192.65 : x
  2. Step 2: Convert to fraction form
    412.02/617.96 = 192.65/x
  3. Step 3: Cross multiply
    412.02x = 617.96 × 192.65
  4. Step 4: Simplify right side
    412.02x = 119,047.39
  5. Step 5: Solve for x
    x = 119,047.39/412.02
  6. Step 6: Final answer
    x = 288.94

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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.