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Finding the Fourth Proportional to 538.29, 742.83 and 305.41

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Solution

The fourth proportional to 538.29, 742.83 and 305.41 is: 421.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.29 : 742.83 = 305.41 : x
  2. Step 2: Convert to fraction form
    538.29/742.83 = 305.41/x
  3. Step 3: Cross multiply
    538.29x = 742.83 × 305.41
  4. Step 4: Simplify right side
    538.29x = 226,867.71
  5. Step 5: Solve for x
    x = 226,867.71/538.29
  6. Step 6: Final answer
    x = 421.46

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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.