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Finding the Fourth Proportional to 617.49, 849.87 and 492.75

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Solution

The fourth proportional to 617.49, 849.87 and 492.75 is: 678.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.49 : 849.87 = 492.75 : x
  2. Step 2: Convert to fraction form
    617.49/849.87 = 492.75/x
  3. Step 3: Cross multiply
    617.49x = 849.87 × 492.75
  4. Step 4: Simplify right side
    617.49x = 418,773.44
  5. Step 5: Solve for x
    x = 418,773.44/617.49
  6. Step 6: Final answer
    x = 678.19

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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.