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Finding the Fourth Proportional to 537.09, 741.21 and 301.06

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Solution

The fourth proportional to 537.09, 741.21 and 301.06 is: 415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.09 : 741.21 = 301.06 : x
  2. Step 2: Convert to fraction form
    537.09/741.21 = 301.06/x
  3. Step 3: Cross multiply
    537.09x = 741.21 × 301.06
  4. Step 4: Simplify right side
    537.09x = 223,148.68
  5. Step 5: Solve for x
    x = 223,148.68/537.09
  6. Step 6: Final answer
    x = 415.48

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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.