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Finding the Fourth Proportional to 617.40, 850.41 and 430.55

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Solution

The fourth proportional to 617.40, 850.41 and 430.55 is: 593.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.40 : 850.41 = 430.55 : x
  2. Step 2: Convert to fraction form
    617.40/850.41 = 430.55/x
  3. Step 3: Cross multiply
    617.40x = 850.41 × 430.55
  4. Step 4: Simplify right side
    617.40x = 366,141.87
  5. Step 5: Solve for x
    x = 366,141.87/617.40
  6. Step 6: Final answer
    x = 593.04

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