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Finding the Fourth Proportional to 576.56, 864.12 and 454.34

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Solution

The fourth proportional to 576.56, 864.12 and 454.34 is: 680.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.56 : 864.12 = 454.34 : x
  2. Step 2: Convert to fraction form
    576.56/864.12 = 454.34/x
  3. Step 3: Cross multiply
    576.56x = 864.12 × 454.34
  4. Step 4: Simplify right side
    576.56x = 392,604.28
  5. Step 5: Solve for x
    x = 392,604.28/576.56
  6. Step 6: Final answer
    x = 680.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.