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Finding the Fourth Proportional to 537.21, 741.36 and 301.21

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Solution

The fourth proportional to 537.21, 741.36 and 301.21 is: 415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.21 : 741.36 = 301.21 : x
  2. Step 2: Convert to fraction form
    537.21/741.36 = 301.21/x
  3. Step 3: Cross multiply
    537.21x = 741.36 × 301.21
  4. Step 4: Simplify right side
    537.21x = 223,304.92
  5. Step 5: Solve for x
    x = 223,304.92/537.21
  6. Step 6: Final answer
    x = 415.67

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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.