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Finding the Fourth Proportional to 467.57, 645.17 and 265.68

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Solution

The fourth proportional to 467.57, 645.17 and 265.68 is: 366.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.57 : 645.17 = 265.68 : x
  2. Step 2: Convert to fraction form
    467.57/645.17 = 265.68/x
  3. Step 3: Cross multiply
    467.57x = 645.17 × 265.68
  4. Step 4: Simplify right side
    467.57x = 171,407.44
  5. Step 5: Solve for x
    x = 171,407.44/467.57
  6. Step 6: Final answer
    x = 366.59

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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.