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Finding the Fourth Proportional to 667.23, 920.53 and 387.31

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Solution

The fourth proportional to 667.23, 920.53 and 387.31 is: 534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.23 : 920.53 = 387.31 : x
  2. Step 2: Convert to fraction form
    667.23/920.53 = 387.31/x
  3. Step 3: Cross multiply
    667.23x = 920.53 × 387.31
  4. Step 4: Simplify right side
    667.23x = 356,523.94
  5. Step 5: Solve for x
    x = 356,523.94/667.23
  6. Step 6: Final answer
    x = 534.34

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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.