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Finding the Fourth Proportional to 668.33, 921.89 and 432.20

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Solution

The fourth proportional to 668.33, 921.89 and 432.20 is: 596.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.33 : 921.89 = 432.20 : x
  2. Step 2: Convert to fraction form
    668.33/921.89 = 432.20/x
  3. Step 3: Cross multiply
    668.33x = 921.89 × 432.20
  4. Step 4: Simplify right side
    668.33x = 398,436.25
  5. Step 5: Solve for x
    x = 398,436.25/668.33
  6. Step 6: Final answer
    x = 596.17

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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.