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Finding the Fourth Proportional to 617.98, 926.96 and 412.94

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Solution

The fourth proportional to 617.98, 926.96 and 412.94 is: 619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.98 : 926.96 = 412.94 : x
  2. Step 2: Convert to fraction form
    617.98/926.96 = 412.94/x
  3. Step 3: Cross multiply
    617.98x = 926.96 × 412.94
  4. Step 4: Simplify right side
    617.98x = 382,778.86
  5. Step 5: Solve for x
    x = 382,778.86/617.98
  6. Step 6: Final answer
    x = 619.40

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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.