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Finding the Fourth Proportional to 576.75, 795.92 and 328.16

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Solution

The fourth proportional to 576.75, 795.92 and 328.16 is: 452.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.75 : 795.92 = 328.16 : x
  2. Step 2: Convert to fraction form
    576.75/795.92 = 328.16/x
  3. Step 3: Cross multiply
    576.75x = 795.92 × 328.16
  4. Step 4: Simplify right side
    576.75x = 261,186.83
  5. Step 5: Solve for x
    x = 261,186.83/576.75
  6. Step 6: Final answer
    x = 452.86

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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.