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Finding the Fourth Proportional to 311.32, 430.16 and 256.02

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Solution

The fourth proportional to 311.32, 430.16 and 256.02 is: 353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.32 : 430.16 = 256.02 : x
  2. Step 2: Convert to fraction form
    311.32/430.16 = 256.02/x
  3. Step 3: Cross multiply
    311.32x = 430.16 × 256.02
  4. Step 4: Simplify right side
    311.32x = 110,129.56
  5. Step 5: Solve for x
    x = 110,129.56/311.32
  6. Step 6: Final answer
    x = 353.75

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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.