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Finding the Fourth Proportional to 541.21, 745.95 and 494.73

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Solution

The fourth proportional to 541.21, 745.95 and 494.73 is: 681.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.21 : 745.95 = 494.73 : x
  2. Step 2: Convert to fraction form
    541.21/745.95 = 494.73/x
  3. Step 3: Cross multiply
    541.21x = 745.95 × 494.73
  4. Step 4: Simplify right side
    541.21x = 369,043.84
  5. Step 5: Solve for x
    x = 369,043.84/541.21
  6. Step 6: Final answer
    x = 681.89

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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.