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Finding the Fourth Proportional to 412.09, 617.65 and 229.16

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Solution

The fourth proportional to 412.09, 617.65 and 229.16 is: 343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.09 : 617.65 = 229.16 : x
  2. Step 2: Convert to fraction form
    412.09/617.65 = 229.16/x
  3. Step 3: Cross multiply
    412.09x = 617.65 × 229.16
  4. Step 4: Simplify right side
    412.09x = 141,537.01
  5. Step 5: Solve for x
    x = 141,537.01/412.09
  6. Step 6: Final answer
    x = 343.47

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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.