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Finding the Fourth Proportional to 576.91, 864.72 and 264.34

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Solution

The fourth proportional to 576.91, 864.72 and 264.34 is: 396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.91 : 864.72 = 264.34 : x
  2. Step 2: Convert to fraction form
    576.91/864.72 = 264.34/x
  3. Step 3: Cross multiply
    576.91x = 864.72 × 264.34
  4. Step 4: Simplify right side
    576.91x = 228,580.08
  5. Step 5: Solve for x
    x = 228,580.08/576.91
  6. Step 6: Final answer
    x = 396.21

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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.