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Finding the Fourth Proportional to 617.71, 852.37 and 408.33

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Solution

The fourth proportional to 617.71, 852.37 and 408.33 is: 563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.71 : 852.37 = 408.33 : x
  2. Step 2: Convert to fraction form
    617.71/852.37 = 408.33/x
  3. Step 3: Cross multiply
    617.71x = 852.37 × 408.33
  4. Step 4: Simplify right side
    617.71x = 348,048.24
  5. Step 5: Solve for x
    x = 348,048.24/617.71
  6. Step 6: Final answer
    x = 563.45

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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.