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Finding the Fourth Proportional to 617.82, 852.78 and 408.16

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Solution

The fourth proportional to 617.82, 852.78 and 408.16 is: 563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.82 : 852.78 = 408.16 : x
  2. Step 2: Convert to fraction form
    617.82/852.78 = 408.16/x
  3. Step 3: Cross multiply
    617.82x = 852.78 × 408.16
  4. Step 4: Simplify right side
    617.82x = 348,070.68
  5. Step 5: Solve for x
    x = 348,070.68/617.82
  6. Step 6: Final answer
    x = 563.39

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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.