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Finding the Fourth Proportional to 491.89, 736.97 and 438.26

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Solution

The fourth proportional to 491.89, 736.97 and 438.26 is: 656.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.89 : 736.97 = 438.26 : x
  2. Step 2: Convert to fraction form
    491.89/736.97 = 438.26/x
  3. Step 3: Cross multiply
    491.89x = 736.97 × 438.26
  4. Step 4: Simplify right side
    491.89x = 322,983.90
  5. Step 5: Solve for x
    x = 322,983.90/491.89
  6. Step 6: Final answer
    x = 656.62

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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.