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Finding the Fourth Proportional to 617.66, 851.91 and 452.54

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Solution

The fourth proportional to 617.66, 851.91 and 452.54 is: 624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.66 : 851.91 = 452.54 : x
  2. Step 2: Convert to fraction form
    617.66/851.91 = 452.54/x
  3. Step 3: Cross multiply
    617.66x = 851.91 × 452.54
  4. Step 4: Simplify right side
    617.66x = 385,523.35
  5. Step 5: Solve for x
    x = 385,523.35/617.66
  6. Step 6: Final answer
    x = 624.17

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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.