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Finding the Fourth Proportional to 537.26, 741.08 and 438.85

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Solution

The fourth proportional to 537.26, 741.08 and 438.85 is: 605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.26 : 741.08 = 438.85 : x
  2. Step 2: Convert to fraction form
    537.26/741.08 = 438.85/x
  3. Step 3: Cross multiply
    537.26x = 741.08 × 438.85
  4. Step 4: Simplify right side
    537.26x = 325,217.06
  5. Step 5: Solve for x
    x = 325,217.06/537.26
  6. Step 6: Final answer
    x = 605.33

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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.