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Finding the Fourth Proportional to 493.54, 738.49 and 406.06

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Solution

The fourth proportional to 493.54, 738.49 and 406.06 is: 607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.54 : 738.49 = 406.06 : x
  2. Step 2: Convert to fraction form
    493.54/738.49 = 406.06/x
  3. Step 3: Cross multiply
    493.54x = 738.49 × 406.06
  4. Step 4: Simplify right side
    493.54x = 299,869.22
  5. Step 5: Solve for x
    x = 299,869.22/493.54
  6. Step 6: Final answer
    x = 607.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.