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Finding the Fourth Proportional to 576.72, 864.69 and 284.29

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Solution

The fourth proportional to 576.72, 864.69 and 284.29 is: 426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.72 : 864.69 = 284.29 : x
  2. Step 2: Convert to fraction form
    576.72/864.69 = 284.29/x
  3. Step 3: Cross multiply
    576.72x = 864.69 × 284.29
  4. Step 4: Simplify right side
    576.72x = 245,822.72
  5. Step 5: Solve for x
    x = 245,822.72/576.72
  6. Step 6: Final answer
    x = 426.24

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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.