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Finding the Fourth Proportional to 617.69, 852.40 and 408.17

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Solution

The fourth proportional to 617.69, 852.40 and 408.17 is: 563.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.69 : 852.40 = 408.17 : x
  2. Step 2: Convert to fraction form
    617.69/852.40 = 408.17/x
  3. Step 3: Cross multiply
    617.69x = 852.40 × 408.17
  4. Step 4: Simplify right side
    617.69x = 347,924.11
  5. Step 5: Solve for x
    x = 347,924.11/617.69
  6. Step 6: Final answer
    x = 563.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.