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Finding the Fourth Proportional to 576.47, 795.35 and 327.78

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Solution

The fourth proportional to 576.47, 795.35 and 327.78 is: 452.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.47 : 795.35 = 327.78 : x
  2. Step 2: Convert to fraction form
    576.47/795.35 = 327.78/x
  3. Step 3: Cross multiply
    576.47x = 795.35 × 327.78
  4. Step 4: Simplify right side
    576.47x = 260,699.82
  5. Step 5: Solve for x
    x = 260,699.82/576.47
  6. Step 6: Final answer
    x = 452.23

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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.