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Finding the Fourth Proportional to 512.24, 707.72 and 394.65

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Solution

The fourth proportional to 512.24, 707.72 and 394.65 is: 545.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.24 : 707.72 = 394.65 : x
  2. Step 2: Convert to fraction form
    512.24/707.72 = 394.65/x
  3. Step 3: Cross multiply
    512.24x = 707.72 × 394.65
  4. Step 4: Simplify right side
    512.24x = 279,299.72
  5. Step 5: Solve for x
    x = 279,299.72/512.24
  6. Step 6: Final answer
    x = 545.26

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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.