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Finding the Fourth Proportional to 654.33, 981.01 and 394.42

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Solution

The fourth proportional to 654.33, 981.01 and 394.42 is: 591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.33 : 981.01 = 394.42 : x
  2. Step 2: Convert to fraction form
    654.33/981.01 = 394.42/x
  3. Step 3: Cross multiply
    654.33x = 981.01 × 394.42
  4. Step 4: Simplify right side
    654.33x = 386,929.84
  5. Step 5: Solve for x
    x = 386,929.84/654.33
  6. Step 6: Final answer
    x = 591.34

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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.