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Finding the Fourth Proportional to 537.17, 741.24 and 301.10

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Solution

The fourth proportional to 537.17, 741.24 and 301.10 is: 415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.17 : 741.24 = 301.10 : x
  2. Step 2: Convert to fraction form
    537.17/741.24 = 301.10/x
  3. Step 3: Cross multiply
    537.17x = 741.24 × 301.10
  4. Step 4: Simplify right side
    537.17x = 223,183.66
  5. Step 5: Solve for x
    x = 223,183.66/537.17
  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.