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Finding the Fourth Proportional to 576.45, 795.78 and 355.73

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Solution

The fourth proportional to 576.45, 795.78 and 355.73 is: 491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.45 : 795.78 = 355.73 : x
  2. Step 2: Convert to fraction form
    576.45/795.78 = 355.73/x
  3. Step 3: Cross multiply
    576.45x = 795.78 × 355.73
  4. Step 4: Simplify right side
    576.45x = 283,078.84
  5. Step 5: Solve for x
    x = 283,078.84/576.45
  6. Step 6: Final answer
    x = 491.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.