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Finding the Fourth Proportional to 512.34, 706.77 and 326.04

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Solution

The fourth proportional to 512.34, 706.77 and 326.04 is: 449.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.34 : 706.77 = 326.04 : x
  2. Step 2: Convert to fraction form
    512.34/706.77 = 326.04/x
  3. Step 3: Cross multiply
    512.34x = 706.77 × 326.04
  4. Step 4: Simplify right side
    512.34x = 230,435.29
  5. Step 5: Solve for x
    x = 230,435.29/512.34
  6. Step 6: Final answer
    x = 449.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.