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Finding the Fourth Proportional to 576.51, 795.67 and 327.78

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Solution

The fourth proportional to 576.51, 795.67 and 327.78 is: 452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.51 : 795.67 = 327.78 : x
  2. Step 2: Convert to fraction form
    576.51/795.67 = 327.78/x
  3. Step 3: Cross multiply
    576.51x = 795.67 × 327.78
  4. Step 4: Simplify right side
    576.51x = 260,804.71
  5. Step 5: Solve for x
    x = 260,804.71/576.51
  6. Step 6: Final answer
    x = 452.39

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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.