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Finding the Fourth Proportional to 617.34, 926.55 and 454.26

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Solution

The fourth proportional to 617.34, 926.55 and 454.26 is: 681.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.34 : 926.55 = 454.26 : x
  2. Step 2: Convert to fraction form
    617.34/926.55 = 454.26/x
  3. Step 3: Cross multiply
    617.34x = 926.55 × 454.26
  4. Step 4: Simplify right side
    617.34x = 420,894.60
  5. Step 5: Solve for x
    x = 420,894.60/617.34
  6. Step 6: Final answer
    x = 681.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.