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Finding the Fourth Proportional to 576.28, 863.58 and 287.14

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Solution

The fourth proportional to 576.28, 863.58 and 287.14 is: 430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.28 : 863.58 = 287.14 : x
  2. Step 2: Convert to fraction form
    576.28/863.58 = 287.14/x
  3. Step 3: Cross multiply
    576.28x = 863.58 × 287.14
  4. Step 4: Simplify right side
    576.28x = 247,968.36
  5. Step 5: Solve for x
    x = 247,968.36/576.28
  6. Step 6: Final answer
    x = 430.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.