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Finding the Fourth Proportional to 512.29, 706.56 and 453.34

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Solution

The fourth proportional to 512.29, 706.56 and 453.34 is: 625.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.29 : 706.56 = 453.34 : x
  2. Step 2: Convert to fraction form
    512.29/706.56 = 453.34/x
  3. Step 3: Cross multiply
    512.29x = 706.56 × 453.34
  4. Step 4: Simplify right side
    512.29x = 320,311.91
  5. Step 5: Solve for x
    x = 320,311.91/512.29
  6. Step 6: Final answer
    x = 625.26

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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.