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Finding the Fourth Proportional to 440.69, 606.35 and 381.48

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Solution

The fourth proportional to 440.69, 606.35 and 381.48 is: 524.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.69 : 606.35 = 381.48 : x
  2. Step 2: Convert to fraction form
    440.69/606.35 = 381.48/x
  3. Step 3: Cross multiply
    440.69x = 606.35 × 381.48
  4. Step 4: Simplify right side
    440.69x = 231,308.49
  5. Step 5: Solve for x
    x = 231,308.49/440.69
  6. Step 6: Final answer
    x = 524.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.