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Finding the Fourth Proportional to 337.26, 505.62 and 207.30

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Solution

The fourth proportional to 337.26, 505.62 and 207.30 is: 310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.26 : 505.62 = 207.30 : x
  2. Step 2: Convert to fraction form
    337.26/505.62 = 207.30/x
  3. Step 3: Cross multiply
    337.26x = 505.62 × 207.30
  4. Step 4: Simplify right side
    337.26x = 104,815.03
  5. Step 5: Solve for x
    x = 104,815.03/337.26
  6. Step 6: Final answer
    x = 310.78

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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.