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Finding the Fourth Proportional to 576.79, 864.27 and 447.10

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Solution

The fourth proportional to 576.79, 864.27 and 447.10 is: 669.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.79 : 864.27 = 447.10 : x
  2. Step 2: Convert to fraction form
    576.79/864.27 = 447.10/x
  3. Step 3: Cross multiply
    576.79x = 864.27 × 447.10
  4. Step 4: Simplify right side
    576.79x = 386,412.96
  5. Step 5: Solve for x
    x = 386,412.96/576.79
  6. Step 6: Final answer
    x = 669.94

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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.