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Finding the Fourth Proportional to 534.27, 736.68 and 438.15

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Solution

The fourth proportional to 534.27, 736.68 and 438.15 is: 604.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.27 : 736.68 = 438.15 : x
  2. Step 2: Convert to fraction form
    534.27/736.68 = 438.15/x
  3. Step 3: Cross multiply
    534.27x = 736.68 × 438.15
  4. Step 4: Simplify right side
    534.27x = 322,776.34
  5. Step 5: Solve for x
    x = 322,776.34/534.27
  6. Step 6: Final answer
    x = 604.14

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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.