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Finding the Fourth Proportional to 576.06, 864.90 and 359.82

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Solution

The fourth proportional to 576.06, 864.90 and 359.82 is: 540.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.06 : 864.90 = 359.82 : x
  2. Step 2: Convert to fraction form
    576.06/864.90 = 359.82/x
  3. Step 3: Cross multiply
    576.06x = 864.90 × 359.82
  4. Step 4: Simplify right side
    576.06x = 311,208.32
  5. Step 5: Solve for x
    x = 311,208.32/576.06
  6. Step 6: Final answer
    x = 540.24

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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.