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Finding the Fourth Proportional to 617.88, 852.66 and 408.39

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Solution

The fourth proportional to 617.88, 852.66 and 408.39 is: 563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.88 : 852.66 = 408.39 : x
  2. Step 2: Convert to fraction form
    617.88/852.66 = 408.39/x
  3. Step 3: Cross multiply
    617.88x = 852.66 × 408.39
  4. Step 4: Simplify right side
    617.88x = 348,217.82
  5. Step 5: Solve for x
    x = 348,217.82/617.88
  6. Step 6: Final answer
    x = 563.57

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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.