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Finding the Fourth Proportional to 375.22, 517.35 and 309.61

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Solution

The fourth proportional to 375.22, 517.35 and 309.61 is: 426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.22 : 517.35 = 309.61 : x
  2. Step 2: Convert to fraction form
    375.22/517.35 = 309.61/x
  3. Step 3: Cross multiply
    375.22x = 517.35 × 309.61
  4. Step 4: Simplify right side
    375.22x = 160,176.73
  5. Step 5: Solve for x
    x = 160,176.73/375.22
  6. Step 6: Final answer
    x = 426.89

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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.