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Finding the Fourth Proportional to 311.76, 430.75 and 259.92

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Solution

The fourth proportional to 311.76, 430.75 and 259.92 is: 359.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.76 : 430.75 = 259.92 : x
  2. Step 2: Convert to fraction form
    311.76/430.75 = 259.92/x
  3. Step 3: Cross multiply
    311.76x = 430.75 × 259.92
  4. Step 4: Simplify right side
    311.76x = 111,960.54
  5. Step 5: Solve for x
    x = 111,960.54/311.76
  6. Step 6: Final answer
    x = 359.12

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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.