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Finding the Fourth Proportional to 576.80, 795.72 and 367.24

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Solution

The fourth proportional to 576.80, 795.72 and 367.24 is: 506.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.80 : 795.72 = 367.24 : x
  2. Step 2: Convert to fraction form
    576.80/795.72 = 367.24/x
  3. Step 3: Cross multiply
    576.80x = 795.72 × 367.24
  4. Step 4: Simplify right side
    576.80x = 292,220.21
  5. Step 5: Solve for x
    x = 292,220.21/576.80
  6. Step 6: Final answer
    x = 506.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.