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Finding the Fourth Proportional to 538.29, 742.86 and 299.02

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Solution

The fourth proportional to 538.29, 742.86 and 299.02 is: 412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.29 : 742.86 = 299.02 : x
  2. Step 2: Convert to fraction form
    538.29/742.86 = 299.02/x
  3. Step 3: Cross multiply
    538.29x = 742.86 × 299.02
  4. Step 4: Simplify right side
    538.29x = 222,125.49
  5. Step 5: Solve for x
    x = 222,125.49/538.29
  6. Step 6: Final answer
    x = 412.65

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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.