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Finding the Fourth Proportional to 667.22, 921.33 and 536.81

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Solution

The fourth proportional to 667.22, 921.33 and 536.81 is: 741.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.22 : 921.33 = 536.81 : x
  2. Step 2: Convert to fraction form
    667.22/921.33 = 536.81/x
  3. Step 3: Cross multiply
    667.22x = 921.33 × 536.81
  4. Step 4: Simplify right side
    667.22x = 494,574.55
  5. Step 5: Solve for x
    x = 494,574.55/667.22
  6. Step 6: Final answer
    x = 741.25

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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.