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Finding the Fourth Proportional to 921.66, 1,382.56 and 344.34

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Solution

The fourth proportional to 921.66, 1,382.56 and 344.34 is: 516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.66 : 1,382.56 = 344.34 : x
  2. Step 2: Convert to fraction form
    921.66/1,382.56 = 344.34/x
  3. Step 3: Cross multiply
    921.66x = 1,382.56 × 344.34
  4. Step 4: Simplify right side
    921.66x = 476,070.71
  5. Step 5: Solve for x
    x = 476,070.71/921.66
  6. Step 6: Final answer
    x = 516.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.