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Finding the Fourth Proportional to 538.08, 742.16 and 351.37

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Solution

The fourth proportional to 538.08, 742.16 and 351.37 is: 484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.08 : 742.16 = 351.37 : x
  2. Step 2: Convert to fraction form
    538.08/742.16 = 351.37/x
  3. Step 3: Cross multiply
    538.08x = 742.16 × 351.37
  4. Step 4: Simplify right side
    538.08x = 260,774.57
  5. Step 5: Solve for x
    x = 260,774.57/538.08
  6. Step 6: Final answer
    x = 484.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.