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Finding the Fourth Proportional to 311.57, 430.56 and 259.06

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Solution

The fourth proportional to 311.57, 430.56 and 259.06 is: 358.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.57 : 430.56 = 259.06 : x
  2. Step 2: Convert to fraction form
    311.57/430.56 = 259.06/x
  3. Step 3: Cross multiply
    311.57x = 430.56 × 259.06
  4. Step 4: Simplify right side
    311.57x = 111,540.87
  5. Step 5: Solve for x
    x = 111,540.87/311.57
  6. Step 6: Final answer
    x = 358.00

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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.