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Finding the Fourth Proportional to 576.04, 863.84 and 287.44

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Solution

The fourth proportional to 576.04, 863.84 and 287.44 is: 431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.04 : 863.84 = 287.44 : x
  2. Step 2: Convert to fraction form
    576.04/863.84 = 287.44/x
  3. Step 3: Cross multiply
    576.04x = 863.84 × 287.44
  4. Step 4: Simplify right side
    576.04x = 248,302.17
  5. Step 5: Solve for x
    x = 248,302.17/576.04
  6. Step 6: Final answer
    x = 431.05

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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.