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Finding the Fourth Proportional to 617.76, 925.35 and 321.21

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Solution

The fourth proportional to 617.76, 925.35 and 321.21 is: 481.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.76 : 925.35 = 321.21 : x
  2. Step 2: Convert to fraction form
    617.76/925.35 = 321.21/x
  3. Step 3: Cross multiply
    617.76x = 925.35 × 321.21
  4. Step 4: Simplify right side
    617.76x = 297,231.67
  5. Step 5: Solve for x
    x = 297,231.67/617.76
  6. Step 6: Final answer
    x = 481.14

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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.