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Finding the Fourth Proportional to 534.75, 738.09 and 302.01

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Solution

The fourth proportional to 534.75, 738.09 and 302.01 is: 416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.75 : 738.09 = 302.01 : x
  2. Step 2: Convert to fraction form
    534.75/738.09 = 302.01/x
  3. Step 3: Cross multiply
    534.75x = 738.09 × 302.01
  4. Step 4: Simplify right side
    534.75x = 222,910.56
  5. Step 5: Solve for x
    x = 222,910.56/534.75
  6. Step 6: Final answer
    x = 416.85

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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.