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Finding the Fourth Proportional to 576.82, 864.86 and 384.22

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Solution

The fourth proportional to 576.82, 864.86 and 384.22 is: 576.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.82 : 864.86 = 384.22 : x
  2. Step 2: Convert to fraction form
    576.82/864.86 = 384.22/x
  3. Step 3: Cross multiply
    576.82x = 864.86 × 384.22
  4. Step 4: Simplify right side
    576.82x = 332,296.51
  5. Step 5: Solve for x
    x = 332,296.51/576.82
  6. Step 6: Final answer
    x = 576.08

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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.