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Finding the Fourth Proportional to 538.29, 742.86 and 305.46

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Solution

The fourth proportional to 538.29, 742.86 and 305.46 is: 421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.29 : 742.86 = 305.46 : x
  2. Step 2: Convert to fraction form
    538.29/742.86 = 305.46/x
  3. Step 3: Cross multiply
    538.29x = 742.86 × 305.46
  4. Step 4: Simplify right side
    538.29x = 226,914.02
  5. Step 5: Solve for x
    x = 226,914.02/538.29
  6. Step 6: Final answer
    x = 421.55

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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.