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Finding the Fourth Proportional to 617.04, 850.64 and 420.21

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Solution

The fourth proportional to 617.04, 850.64 and 420.21 is: 579.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.04 : 850.64 = 420.21 : x
  2. Step 2: Convert to fraction form
    617.04/850.64 = 420.21/x
  3. Step 3: Cross multiply
    617.04x = 850.64 × 420.21
  4. Step 4: Simplify right side
    617.04x = 357,445.33
  5. Step 5: Solve for x
    x = 357,445.33/617.04
  6. Step 6: Final answer
    x = 579.29

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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.