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Finding the Fourth Proportional to 512.65, 707.02 and 381.97

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Solution

The fourth proportional to 512.65, 707.02 and 381.97 is: 526.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.65 : 707.02 = 381.97 : x
  2. Step 2: Convert to fraction form
    512.65/707.02 = 381.97/x
  3. Step 3: Cross multiply
    512.65x = 707.02 × 381.97
  4. Step 4: Simplify right side
    512.65x = 270,060.43
  5. Step 5: Solve for x
    x = 270,060.43/512.65
  6. Step 6: Final answer
    x = 526.79

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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.