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Finding the Fourth Proportional to 668.07, 921.24 and 419.31

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Solution

The fourth proportional to 668.07, 921.24 and 419.31 is: 578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.07 : 921.24 = 419.31 : x
  2. Step 2: Convert to fraction form
    668.07/921.24 = 419.31/x
  3. Step 3: Cross multiply
    668.07x = 921.24 × 419.31
  4. Step 4: Simplify right side
    668.07x = 386,285.14
  5. Step 5: Solve for x
    x = 386,285.14/668.07
  6. Step 6: Final answer
    x = 578.21

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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.