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Finding the Fourth Proportional to 667.49, 920.08 and 534.28

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Solution

The fourth proportional to 667.49, 920.08 and 534.28 is: 736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.49 : 920.08 = 534.28 : x
  2. Step 2: Convert to fraction form
    667.49/920.08 = 534.28/x
  3. Step 3: Cross multiply
    667.49x = 920.08 × 534.28
  4. Step 4: Simplify right side
    667.49x = 491,576.62
  5. Step 5: Solve for x
    x = 491,576.62/667.49
  6. Step 6: Final answer
    x = 736.45

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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.