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Finding the Fourth Proportional to 576.30, 864.84 and 360.02

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Solution

The fourth proportional to 576.30, 864.84 and 360.02 is: 540.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.30 : 864.84 = 360.02 : x
  2. Step 2: Convert to fraction form
    576.30/864.84 = 360.02/x
  3. Step 3: Cross multiply
    576.30x = 864.84 × 360.02
  4. Step 4: Simplify right side
    576.30x = 311,359.70
  5. Step 5: Solve for x
    x = 311,359.70/576.30
  6. Step 6: Final answer
    x = 540.27

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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.