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Finding the Fourth Proportional to 617.43, 851.90 and 410.43

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Solution

The fourth proportional to 617.43, 851.90 and 410.43 is: 566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.43 : 851.90 = 410.43 : x
  2. Step 2: Convert to fraction form
    617.43/851.90 = 410.43/x
  3. Step 3: Cross multiply
    617.43x = 851.90 × 410.43
  4. Step 4: Simplify right side
    617.43x = 349,643.26
  5. Step 5: Solve for x
    x = 349,643.26/617.43
  6. Step 6: Final answer
    x = 566.29

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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.