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Finding the Fourth Proportional to 381.23, 525.35 and 311.16

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Solution

The fourth proportional to 381.23, 525.35 and 311.16 is: 428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.23 : 525.35 = 311.16 : x
  2. Step 2: Convert to fraction form
    381.23/525.35 = 311.16/x
  3. Step 3: Cross multiply
    381.23x = 525.35 × 311.16
  4. Step 4: Simplify right side
    381.23x = 163,467.91
  5. Step 5: Solve for x
    x = 163,467.91/381.23
  6. Step 6: Final answer
    x = 428.79

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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.