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Finding the Fourth Proportional to 537.88, 742.48 and 406.92

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Solution

The fourth proportional to 537.88, 742.48 and 406.92 is: 561.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.88 : 742.48 = 406.92 : x
  2. Step 2: Convert to fraction form
    537.88/742.48 = 406.92/x
  3. Step 3: Cross multiply
    537.88x = 742.48 × 406.92
  4. Step 4: Simplify right side
    537.88x = 302,129.96
  5. Step 5: Solve for x
    x = 302,129.96/537.88
  6. Step 6: Final answer
    x = 561.71

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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.