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Finding the Fourth Proportional to 412.05, 617.17 and 340.89

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Solution

The fourth proportional to 412.05, 617.17 and 340.89 is: 510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.05 : 617.17 = 340.89 : x
  2. Step 2: Convert to fraction form
    412.05/617.17 = 340.89/x
  3. Step 3: Cross multiply
    412.05x = 617.17 × 340.89
  4. Step 4: Simplify right side
    412.05x = 210,383.14
  5. Step 5: Solve for x
    x = 210,383.14/412.05
  6. Step 6: Final answer
    x = 510.57

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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.