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Finding the Fourth Proportional to 512.92, 708.09 and 347.23

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Solution

The fourth proportional to 512.92, 708.09 and 347.23 is: 479.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.92 : 708.09 = 347.23 : x
  2. Step 2: Convert to fraction form
    512.92/708.09 = 347.23/x
  3. Step 3: Cross multiply
    512.92x = 708.09 × 347.23
  4. Step 4: Simplify right side
    512.92x = 245,870.09
  5. Step 5: Solve for x
    x = 245,870.09/512.92
  6. Step 6: Final answer
    x = 479.35

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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.