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Finding the Fourth Proportional to 537.34, 741.56 and 301.30

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Solution

The fourth proportional to 537.34, 741.56 and 301.30 is: 415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.34 : 741.56 = 301.30 : x
  2. Step 2: Convert to fraction form
    537.34/741.56 = 301.30/x
  3. Step 3: Cross multiply
    537.34x = 741.56 × 301.30
  4. Step 4: Simplify right side
    537.34x = 223,432.03
  5. Step 5: Solve for x
    x = 223,432.03/537.34
  6. Step 6: Final answer
    x = 415.81

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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.