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Finding the Fourth Proportional to 667.32, 921.42 and 536.94

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Solution

The fourth proportional to 667.32, 921.42 and 536.94 is: 741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.32 : 921.42 = 536.94 : x
  2. Step 2: Convert to fraction form
    667.32/921.42 = 536.94/x
  3. Step 3: Cross multiply
    667.32x = 921.42 × 536.94
  4. Step 4: Simplify right side
    667.32x = 494,747.25
  5. Step 5: Solve for x
    x = 494,747.25/667.32
  6. Step 6: Final answer
    x = 741.39

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Why These Related Problems?

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