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Finding the Fourth Proportional to 405.27, 606.45 and 381.88

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Solution

The fourth proportional to 405.27, 606.45 and 381.88 is: 571.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.27 : 606.45 = 381.88 : x
  2. Step 2: Convert to fraction form
    405.27/606.45 = 381.88/x
  3. Step 3: Cross multiply
    405.27x = 606.45 × 381.88
  4. Step 4: Simplify right side
    405.27x = 231,593.32
  5. Step 5: Solve for x
    x = 231,593.32/405.27
  6. Step 6: Final answer
    x = 571.45

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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.