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Finding the Fourth Proportional to 576.16, 864.08 and 191.28

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Solution

The fourth proportional to 576.16, 864.08 and 191.28 is: 286.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.16 : 864.08 = 191.28 : x
  2. Step 2: Convert to fraction form
    576.16/864.08 = 191.28/x
  3. Step 3: Cross multiply
    576.16x = 864.08 × 191.28
  4. Step 4: Simplify right side
    576.16x = 165,281.22
  5. Step 5: Solve for x
    x = 165,281.22/576.16
  6. Step 6: Final answer
    x = 286.87

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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.