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Finding the Fourth Proportional to 576.82, 865.43 and 360.14

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Solution

The fourth proportional to 576.82, 865.43 and 360.14 is: 540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.82 : 865.43 = 360.14 : x
  2. Step 2: Convert to fraction form
    576.82/865.43 = 360.14/x
  3. Step 3: Cross multiply
    576.82x = 865.43 × 360.14
  4. Step 4: Simplify right side
    576.82x = 311,674.16
  5. Step 5: Solve for x
    x = 311,674.16/576.82
  6. Step 6: Final answer
    x = 540.34

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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.