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Finding the Fourth Proportional to 440.18, 605.54 and 380.72

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Solution

The fourth proportional to 440.18, 605.54 and 380.72 is: 523.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.18 : 605.54 = 380.72 : x
  2. Step 2: Convert to fraction form
    440.18/605.54 = 380.72/x
  3. Step 3: Cross multiply
    440.18x = 605.54 × 380.72
  4. Step 4: Simplify right side
    440.18x = 230,541.19
  5. Step 5: Solve for x
    x = 230,541.19/440.18
  6. Step 6: Final answer
    x = 523.74

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Why These Related Problems?

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