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Finding the Fourth Proportional to 576.64, 795.76 and 327.96

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Solution

The fourth proportional to 576.64, 795.76 and 327.96 is: 452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.64 : 795.76 = 327.96 : x
  2. Step 2: Convert to fraction form
    576.64/795.76 = 327.96/x
  3. Step 3: Cross multiply
    576.64x = 795.76 × 327.96
  4. Step 4: Simplify right side
    576.64x = 260,977.45
  5. Step 5: Solve for x
    x = 260,977.45/576.64
  6. Step 6: Final answer
    x = 452.58

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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.