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Finding the Fourth Proportional to 654.33, 979.14 and 393.41

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Solution

The fourth proportional to 654.33, 979.14 and 393.41 is: 588.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.33 : 979.14 = 393.41 : x
  2. Step 2: Convert to fraction form
    654.33/979.14 = 393.41/x
  3. Step 3: Cross multiply
    654.33x = 979.14 × 393.41
  4. Step 4: Simplify right side
    654.33x = 385,199.67
  5. Step 5: Solve for x
    x = 385,199.67/654.33
  6. Step 6: Final answer
    x = 588.69

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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.