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Finding the Fourth Proportional to 393.77, 589.87 and 270.07

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Solution

The fourth proportional to 393.77, 589.87 and 270.07 is: 404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.77 : 589.87 = 270.07 : x
  2. Step 2: Convert to fraction form
    393.77/589.87 = 270.07/x
  3. Step 3: Cross multiply
    393.77x = 589.87 × 270.07
  4. Step 4: Simplify right side
    393.77x = 159,303.30
  5. Step 5: Solve for x
    x = 159,303.30/393.77
  6. Step 6: Final answer
    x = 404.56

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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.