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Finding the Fourth Proportional to 393.89, 589.41 and 278.46

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Solution

The fourth proportional to 393.89, 589.41 and 278.46 is: 416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.89 : 589.41 = 278.46 : x
  2. Step 2: Convert to fraction form
    393.89/589.41 = 278.46/x
  3. Step 3: Cross multiply
    393.89x = 589.41 × 278.46
  4. Step 4: Simplify right side
    393.89x = 164,127.11
  5. Step 5: Solve for x
    x = 164,127.11/393.89
  6. Step 6: Final answer
    x = 416.69

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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.