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Finding the Fourth Proportional to 537.76, 742.13 and 301.71

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Solution

The fourth proportional to 537.76, 742.13 and 301.71 is: 416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.76 : 742.13 = 301.71 : x
  2. Step 2: Convert to fraction form
    537.76/742.13 = 301.71/x
  3. Step 3: Cross multiply
    537.76x = 742.13 × 301.71
  4. Step 4: Simplify right side
    537.76x = 223,908.04
  5. Step 5: Solve for x
    x = 223,908.04/537.76
  6. Step 6: Final answer
    x = 416.37

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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.