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Finding the Fourth Proportional to 576.89, 864.85 and 252.01

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Solution

The fourth proportional to 576.89, 864.85 and 252.01 is: 377.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.89 : 864.85 = 252.01 : x
  2. Step 2: Convert to fraction form
    576.89/864.85 = 252.01/x
  3. Step 3: Cross multiply
    576.89x = 864.85 × 252.01
  4. Step 4: Simplify right side
    576.89x = 217,950.85
  5. Step 5: Solve for x
    x = 217,950.85/576.89
  6. Step 6: Final answer
    x = 377.80

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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.