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Finding the Fourth Proportional to 617.34, 850.78 and 506.17

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Solution

The fourth proportional to 617.34, 850.78 and 506.17 is: 697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.34 : 850.78 = 506.17 : x
  2. Step 2: Convert to fraction form
    617.34/850.78 = 506.17/x
  3. Step 3: Cross multiply
    617.34x = 850.78 × 506.17
  4. Step 4: Simplify right side
    617.34x = 430,634.80
  5. Step 5: Solve for x
    x = 430,634.80/617.34
  6. Step 6: Final answer
    x = 697.57

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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.