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Finding the Fourth Proportional to 311.24, 430.08 and 237.44

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Solution

The fourth proportional to 311.24, 430.08 and 237.44 is: 328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.24 : 430.08 = 237.44 : x
  2. Step 2: Convert to fraction form
    311.24/430.08 = 237.44/x
  3. Step 3: Cross multiply
    311.24x = 430.08 × 237.44
  4. Step 4: Simplify right side
    311.24x = 102,118.20
  5. Step 5: Solve for x
    x = 102,118.20/311.24
  6. Step 6: Final answer
    x = 328.10

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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.