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Finding the Fourth Proportional to 538.69, 742.89 and 372.64

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Solution

The fourth proportional to 538.69, 742.89 and 372.64 is: 513.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.69 : 742.89 = 372.64 : x
  2. Step 2: Convert to fraction form
    538.69/742.89 = 372.64/x
  3. Step 3: Cross multiply
    538.69x = 742.89 × 372.64
  4. Step 4: Simplify right side
    538.69x = 276,830.53
  5. Step 5: Solve for x
    x = 276,830.53/538.69
  6. Step 6: Final answer
    x = 513.90

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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.